length n = 125
dimension k = 7
alphabet length q = 3

minimum distance d = 77

generator matrix:
00000000000000111111000000000000111111111000000111111111111111000111111111111111111000000111111111111111111111111111111111111
00000000011111000001000000111111000000122011111000001111111111111000111111122222222111111000000111111111111222222222222222222
00000111100001000010111111000000000000212101111011110000111111111111000222211112222111122111122000022222222001111111122222222
00111000100010000100000122000122000122000110111101110111000111122122122011201120122122212122212122200112222120011222200111122
11001001000100001000122000000212122000000111011110111011011001212122212102121102201212221212212212212020122212222001112011201
01010010001000010000000212122000212000000111101111011101101010212212122211010212210221221221221221222221001121202120221102110
10100100010000100000212000212000000212000111110111101110110100122212212120112011022222112222121222121202210212120212011220011

by truncation of 126