length n = 125
dimension k = 4
alphabet length q = 4

minimum distance d = 93

generator matrix:
00000000111111111111000111111111111000111111111111000111111111111000111111111111000111111111111000111111111111000111111111111
00000111000111222333111000111222333111000111222333111000111222333111000111222333111000111222333111000111222333111000111222333
11111123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123
00113000000000000000000000000000000123123123123123123123123123123231231231231231231231231231231312312312312312312312312312312

projective group of automorphisms generated by:
2300
2100
0030
0003