length n = 125
dimension k = 9
alphabet length q = 2

minimum distance d = 56

generator matrix:
00000011100000011100000011100001111100000011100001111100100001111100001111100011111100011111100111111100001111100111111101111
00001100100011100000001100100110011100001100100110011101001110001101110001101100111101100111101011111111110000111001111110111
00110100001100000100010101001010101100110100001110100110010010110110110110011101001110101011111001111100011111011110011111011
01000011000100101001100100001111100011000000111001001101010100111011010001110110110111101100111110011100110111001111101110111
00001001110001000110110000011100110001000101010011010110001101010110111010011010011111111001011110101111001001110011111111011
10110000000101010000101010011001010110011000011100110001011001100111100001111101110011010101111111110001001011111110110110111
11000010011000100010001001010011011001010010010101101010010111001010111100011011100110110111010111110111110100011111101011011
00011100001010001011000010011101001000101001001111010000111010011001001110101111011011011110011111101010110110011101011101111
11100000010010010001010000110110100110100010011010101000101111100001001111010111101001111010111101011111101000111111110001111

projective group of automorphisms generated by:
000100000
000010000
000000010
000000100
100000000
001000000
000000001
010000000
000001000

100000000
010000000
001000000
000100000
000010000
000001000
000000100
000000010
000000001