On other forums, I keep a list of current booked headcodes for track machines up to date, but haven't posted it here, where it too may find use.
Hopefully this will copy OK, if not please feel free to copy it and reformat it as necessary, and/or move it to a section of the website where it can be kept and viewed.
3C02 - High Speed Line 1
3Z07 - normally the code DR98008 (Network Rail) uses, but occasionally uses other 3Zxx codes.
4Q01 - DR79301-4 (70 9427 038-41) - Network Rail
4Q02 - DR79401-4 (70 9427 042-45) - Network Rail
4Q03 - DR79501-7 (70 9427 046-52) - Network Rail (all ex 4Z01-3)
6Hxx - Swindon based OHLE MPVs
6J00 - DR73923 - Colas
6J01 - DR73930 - Colas
6J02 - DR73936 - Colas
6J03 - 999800 - Network Rail (stored)
6J04 - 999801 - Network Rail (stored)
6J06 - DR73917 - Balfour Beatty
6J07 - DR73938 - Balfour Beatty
6J08 - DR73939 - Balfour Beatty
6J09 - One or both of DR72211 and DR72213 - Balfour Beatty - 2024, now used for BBXX Class 20s.
6J13 - DR73906 - Colas
6J14 - DR77908 - SBRail
6J15 - DR75404 - Volker Rail
6J16 - DR75405 - Volker Rail
6J23 - DR73918 - Balfour Beatty
6J24 - DR73943 - Balfour Beatty
6J25 - DR73944 - Balfour Beatty
6J26 - DR73945 - Balfour Beatty
6J27 - DR73926 - Balfour Beatty
6J28 - DR73927 - Balfour Beatty
6J29 - DR73928 - Balfour Beatty
6J30 - DR73937 - Balfour Beatty
6J31 - DR75303 - Volker Rail
6J32 - DR75402 - Volker Rail
6J33 - DR75403 - Volker Rail - Severely fire damaged, not expected to return to traffic.
6J34 - DR77801 - Volker Rail
6J35 - DR77802 - Volker Rail
6J36 - DR75301 - Volker Rail
6J37 - DR75302 - Volker Rail
6J38 - DR75401 - Volker Rail
6J39 - DR73924 - Colas
6J40 - DR73929 - Colas
6J41 - DR73925 - Colas
6J42 - DR73935 - Colas
6J43 - DR73108 - Colas
6J44 - DR73905 - Colas
6J45 - DR73911 - Colas
6J46 - DR73922 - Colas
6J47 - DR73921 - Colas
6J48 - DR73922 - Colas
6J49 - DR75408 - Balfour Beatty
6J51 - DR73941 - SBRail
6J54 - DR73109 - SBRail
6J55 - DR73940 - SBRail
6J56 - DR75409 - Balfour Beatty
6J58 - DR75410 - Balfour Beatty
6J60 - DR74002 (99 70 9128 002-1) - SBRail
6J61 - DR75411 - Balfour Beatty
6J62 - DR73947 - Colas
6J63 - DR73948 - Colas
6J67 - DR73110 - SBRail
6J72 - DR73909 - Colas
6J73 - DR73942 - Colas
6J74 - DR73946 - Volker Rail
6J76 - 99 70 9128 001-3 - SBRail
6J80 - DR73912 - Colas
6J81 - DR73920 - Colas
6J83 - DR75406 - Colas
6J84 - DR75407 - Colas
6J85 - DR73919 - Colas
6J86 - DR73931 - Colas
6J87 - DR73910 - Colas
6J88 - DR77901 - Colas
6J89 - DR73907 - Colas
6J90 - DR73908 - Colas (used 6J60 in the past)
6J91 - DR73913 - Colas
6J94 - DR73805 - Colas
6J95 - DR73806 - Colas
6J98 - DR77001 - SBRail
6J99 - DR77002 - SBRail
6Q53 - DR73120 (99 70 9123 120-6) - Network Rail [originally ran as 6U53]
6Q54 - DR73121 (99 70 9123 121-4) - Network Rail [originally ran as 6U54]
6Q55 - DR73122 (99 70 9123 122-2) - Network Rail
6Q56 - DR77909 (99 70 9125 909-0) - Network Rail
6Q57 - DR77010 (99 70 9125 010-7) - Network Rail
6Q58 - DR75010 (99 70 9123 010-9) - Colas
6Q64 - DR75008 (99 70 9123 008-3) - Colas ex 6J75
6Q65 - DR75009 (99 70 9123 009-1) - Colas ex 6J77
6Q66 - DR75501 - Balfour Beatty
6Q68 - DR75502 - Balfour Beatty
6T40 - DR73803 - SBRail
6T41 - DR73804 - SBRail
6T42 - DR73904 - SBRail
6T43 - DR73914 - SBRail
6T44 - DR73915 - SBRail
6T45 - DR73916 - SBRail
6T46 - DR73932 - SBRail
6T47 - DR73933 - SBRail
6T48 - DR73934 - SBRail
Note: often a DR7311x will be working on moves with a DR7790x. Usually these take the code of the leading machine, but not in every case.
6U01 - DR79261 / DR79271 - Network Rail
6U02 - DR79262 / DR79272 - Network Rail
6U03 - DR79263 / DR79273 - Network Rail
6U04 - DR79264 / DR79274 - Network Rail
6U07 - DR79267 / DR79277 - Network Rail
6U11 - DR77905 - Network Rail
6U12 - DR73114 - Network Rail
6U13 - DR73115 - Network Rail
6U17 - DR73111 - Network Rail
6U19 - DR73113 - Network Rail
6U20 - DR80200 - Network Rail
6U21 - DR80201 - Network Rail
6U22 - DR80202 - Network Rail
6U23 - DR80203 - Network Rail
6U24 - DR80204 - Network Rail
6U25 - DR80205 - Network Rail
6U26 - DR80206 - Network Rail
6U27 - DR80207 - Network Rail
6U28 - DR80208 - Network Rail
6U29 - DR80209 - Network Rail
6U30 - DR80210 - Network Rail
6U31 - DR80211 - Network Rail
6U33 - DR80213 - Network Rail
6U34 - DR80214 - Network Rail
6U35 - DR80215 - Network Rail
6U36 - DR80216 - Network Rail
6U37 - DR80217 - Network Rail
6U40 - DR80301 - Network Rail
6U41 - DR80302 - Network Rail
6U42 - DR80303 - Network Rail
6U43 - DR73116 - Network Rail
6U44 - DR77906 - Network Rail
6U47 - DR77907 - Network Rail
6U48 - DR73117 - Network Rail
6U52 - DR73118 - Network Rail
6U82 - Robel set 2 - Network Rail
6U83 - Robel set 3 - Network Rail
6U84 - Robel set 4 - Network Rail
6U85 - Robel set 5 - Network Rail
6U86 - Robel set 6 - Network Rail
6U87 - Robel set 7 - Network Rail
6U88 - Robel set 8 - Network Rail
6X69 - 99 70 9427 063-1/DR79601 - Scheerbau - usually loco hauled, ex 6X02
6Y53 -EMPV (OHLE) - Colas
6Y54 -EMPV (OHLE) - usually higher-numbered examples - Colas
6Z01 - DR79231-7 - Network Rail
6Z02 - DR79241-7 - Network Rail
6Z03 - DR79251-7 - Network Rail
6Z05 -MPV moves
6Z07 -MPV Moves
6Z08 - Usually MPV DR98008 - runs as 3XXX most of the time - Network Rail (Colas operated)
6Z09 - DR79221-6
6Z13 -MPV moves
7J01 - DR98215 - Balfour Beatty
7J02 - DR98216 - Balfour Beatty
7J03 - DR98217 - Balfour Beatty
7J04 - DR98218 - Balfour Beatty
7J05 - DR98219 - Balfour Beatty
7J06 - DR98220 - Balfour Beatty
7Z02 - DR79201 - Network Rail (Loram operated)
7Z09 - DR77327 - Colas
Hope this is of use - corrections and additions very welcome.