length n = 125
dimension k = 6
alphabet length q = 8

minimum distance d = 64

generator matrix:
00000000000000001111111111111111000000000000000111111111111111100000000000000011111111111111110000000000000001111111111111111
00000000111111110000000011111111000000011111111000000001111111100000001111111100000000111111110000000111111110000000011111111
00001111000011110000111100001111000111100001111000011110000111100011110000111100001111000011110001111000011110000111100001111
00110011001100110011001100110011011001100110011001100110011001101100110011001100110011001100110110011001100110011001100110011
01010101010101010101010101010101101010101010101010101010101010110101010101010101010101010101011010101010101010101010101010101
10000000000000000000000000000000222222222222222222222222222222244444444444444444444444444444445555555555555555555555555555555

projective group of automorphisms generated by:
000010
100000
010000
001000
000110
000001

010000
001000
100000
000100
000010
000001

100000
001000
010000
000100
000010
000001