XXI #8: the long way was 7

Nobody has logged a solve on this one yet.

Reveal the long way (7 tiles)

75269664416553612235417

Numbers on green tiles show the order. Other 7-tile routes may exist — this is the one the solver finds first.

Every XXI grid has a three-tile answer and a much longer one. The score is how many tiles you used, so the question is never whether you can make 21 — it's whether you found the long way. How to find it.