length n = 128
dimension k = 7
alphabet length q = 2

minimum distance d = 64

generator matrix:
00000100000100000000001111111111000000000011111111110000000000001111100000000001111100000111111111100000111111111101111101111111
00001000001000001111110000001111000011111100000011110000000011110000100000011110000101111000011111101111000011111110111110111111
00000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111100000000000011
00010000010001110001110001110001011100011100011100010000011100010001000011100010001010111011100011110111011100011111011111011111
00100000100010110110010110010010101101100101100100100001100100100010001100100100010011011101101100111011101101100111101111101111
01000001000011011010101010100100110110101010101001000010101001000100010101001000100011101110110101011101110110101011110111110111
10000010000011101101001101001000111011010011010010000011010010001000011010010001000011110111011010011110111011010011111011111011

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

0000001
0000100
0010000
0000010
0001000
1000000
0100000