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I got 66 but I didn't track the steps. I'll try to get there again and document.

Diagonal moves by alternating directions are helpful.

69: Alternate down/right to 18, up/right to 30, up to 32, right, left to 40, up to 46, left to 49, up to 55, left/up to 65, left to 69.

71: same as above up to 55, then left to 60, up to 65 and right to 71.