length n = 31
dimension k = 6
alphabet length q = 8

minimum distance d = 15

generator matrix:
0000000000000001111111111111111
0000000111111110000000011111111
0001111000011110000111100001111
0110011001100110011001100110011
1010101010101010101010101010101
7777777777777777777777777777777

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

010000
001000
100000
000100
000010
000001

100000
001000
010000
000100
000010
000001