length n = 111
dimension k = 9
alphabet length q = 2

minimum distance d = 50

generator matrix:
000000111000000111000000111000000111000011111000000111000011111000011111000011111000111111000111111011001111111
000111000000011001000011001000011001011100011000011001011100011011100011000101111011001111011001111011110011111
000001011001100001001101000001100010001101101001100010000101111011101100111000011101110011101010111101011101111
001000101010100010010110000010001100010111100110000001100011101101100101011110100011111100110110011110101110111
000011010001001010110000010100101000100100111010101000001100111100111010101110100111010101011110101110110101111
010110000101010000011000100011000001101110010100010010111100010101010110111001001101101110111011100101111011011
111000000010010100001010010100010010111010100001001100111011000110110100000111011110011011110101110011111111100
110100000110001000100100001101000100111001010100100100111110000011011001110110100110110110111101001110111111001
101000100100100100100001100010110000110011001011010000110011100110001011111001010111101001101111010101111110110

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

100000000
010000000
001000000
000100000
000010000
000001000
000000100
000000010
000000001