length n = 25
dimension k = 7
alphabet length q = 2

minimum distance d = 10

generator matrix:
0000111111001111111101111
0111000111110011111110111
0000000000010100011111111
0000000000101011100011111
1011011001111101101111011
1101101010111110110111101
1110110100111111011011110

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

0100000
0000100
0001000
0010000
1000000
0000001
0000010