length n = 31
dimension k = 6
alphabet length q = 2

minimum distance d = 15

generator matrix:
0010010000110000110010011111111
0000100001010111010111110001011
0100100110000011001000101111111
0000011010001001111101110010101
1001001001001100000101001111111
0001000100101110101011110100110

projective group of automorphisms generated by:
100000
000001
000010
000100
001000
010000

000010
010000
001000
000001
100000
000100