length n = 31
dimension k = 7
alphabet length q = 2

minimum distance d = 12

generator matrix:
0000001000000111111111111111111
0000010011111000001111111111111
0000100101111011110000111111111
0001000110111101110111000111111
0010000111011110111011011001111
0100000111101111011101101010111
1000000111110111101110110100111

projective group of automorphisms generated by:
0010000
1000000
0100000
0001000
0000100
0000010
0000001

0001000
1000000
0010000
0100000
0000100
0000010
0000001

0000100
1000000
0010000
0001000
0100000
0000010
0000001

0000010
1000000
0010000
0001000
0000100
0100000
0000001

0000001
1000000
0010000
0001000
0000100
0000010
0100000