length n = 107
dimension k = 7
alphabet length q = 2

minimum distance d = 52

generator matrix:
00000100000000001111111111000001111111111000000000001111100000000001111111111000001111111111011111011111111
00001000001111110000001111011110000111111000000011110000100001111110000001111011110000111111101111101111111
00000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111000000111111011
00010001110001110001110001101110111000111000011100010001001110001110001110001101110111000111110111110111111
00100010110110010110010010110111011011001001100100100010010110110010110010010110111011011001111011111011111
01000011011010101010100100111011101101010010101001000100011011010101010100100111011101101010111101111101111
10000011101101001101001000111101110110100011010010001000011101101001101001000111101110110100111110111110111

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

0000001
0000100
0010000
0000010
0001000
1000000
0100000