Commas whose numerator is a fourth power

The most interesting of these for musical purposes are clearly
81/80 and 2401/2400 (plus 16/15 if you consider that to be a comma).
However, I am interested to note that both 57^4/(57^4-1) and
99^4/(99^4-1) are 29-limit commas. While it doesn't hold much in the
way of musical significance, that phenomenon repeats itself:

68^4/(68^4-1) and 133^4/(133^4-1) are both 67 limit

73^4/(73^4-1), 265^4/(265^4-1) and 319^4/(319^4-1) are 73 limit

119^4/(119^4-1), 216^4/(216^4-1), 560^4/(560^4-1), and 657^4/(657^4-1)
are all 97 limit

And so forth. I only checked up to 1001, so this is not exhaustive.