length n = 114
dimension k = 7
alphabet length q = 2

minimum distance d = 56

generator matrix:
000001000000000011111111110000000100000000001111100000000001111111111000001111111111000001111111111011111011111111
000010000011111100000011110000001000000011110000100001111110000001111011110000111111011110000111111101111101111111
000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111000000111111001
000100011100011100011100010000010000011100010001001110001110001110001101110111000111101110111000111110111110111111
001000101101100101100100100000100001100100100010010110110010110010010110111011011001110111011011001111011111011111
010000110110101010101001000001000010101001000100011011010101010100100111011101101010111011101101010111101111101111
100000111011010011010010000010000011010010001000011101101001101001000111101110110100111101110110100111110111110111

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

0000001
0000100
0010000
0000010
0001000
1000000
0100000