The workflow for these tapes is described on the Chilton Computing website [1].
(Note: this is analogue 7-track, not to be confused with the digital 7-track format used by early IBM mainframe machines).
[1] http://www.chilton-computing.org.uk/acl/applications/satelli...
It would take 7 passes to get it off assuming only one of the heads lines up with a track at any given time. Keeping the sync between the tracks will be the hard part. I'm in Europe so that probably rules out collaboration on this but if there is some way to get me a sample of such a tape I'll be more than happy to give it a shot.
edit: this machine: https://soniccircus.com/product/teac-80-8-1-2-8-track-analog...
From reading the papers published at the time (mid-to-late 60s), it seems the encoding scheme was based off a comb-filter, although I don't honestly understand enough to actually describe how it works.
I've had the tapes for around 5 years now, and managed to do basically nothing. It would be good to finally make some progress! I'll send you an email.
Looking forward to your email, I love these kind of projects.