665 et

For anyone who wants to probe into the inner gizzard of this, here is
one place to start:

5-limit TM reduced basis:
19073486328125/19042491875328, 450359962737049600/450283905890997363

7-limit TM reduced basis:
4375/4374, 703125/702464, 68719476736/68641485507

If we take the first two commas off the 7-limit list, we get a
temperament which has turned up before, with wedgie
[19, 19, 57, -14, 37, 79]
and mapping
[[19, 30, 44, 53], [0, 1, 1, 3]]

It's something of a 171-et specialty, but other ets (notably 494 and
665) support it also.