length n = 174
dimension k = 7
alphabet length q = 2

minimum distance d = 86

generator matrix:
000001000001000001000000000011111111110000000000111111111100000111111111100000010000000000111110000000000111110000000000111111111100000111111111100000111111111101111101111111
000010000010000010000011111100000011110000111111000000111101111000011111100000100000001111000010000001111000010000111111000000111101111000011111101111000011111110111110111111
000000000000000000000000000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111111111111111111111111111111111111111100000011111101
000100000100000100011100011100011100010111000111000111000110111011100011100001000001110001000100001110001000100111000111000111000110111011100011110111011100011111011111011111
001000001000001000101101100101100100101011011001011001001011011101101100100010000110010010001000110010010001001011011001011001001011011101101100111011101101100111101111101111
010000010000010000110110101010101001001101101010101010010011101110110101000100001010100100010001010100100010001101101010101010010011101110110101011101110110101011110111110111
100000100000100000111011010011010010001110110100110100100011110111011010001000001101001000100001101001000100001110110100110100100011110111011010011110111011010011111011111011

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

0000001
0000100
0010000
0000010
0001000
1000000
0100000