length n = 123
dimension k = 7
alphabet length q = 2

minimum distance d = 61

generator matrix:
000000000000000000000000000000010000011111000000000011111111110000000000111111111100000111111111111111111111111111111111111
000000000000000000000000000000101111100000111111111100000000001111111111000000000011111000001111111111111111111111111111111
000010000001111000011111101111000000100001000000111100000011110000111111000011111101111011110000100000011110000111111011111
000100001110001011100011110111000001000010000111000100011100010111000111011100011110111101110001000011100010111000111101111
001000110010010101101100111011000010000100011001001001100100101011011001101101100111011110110010001100100101011011001110111
010001010100100110110101011101000100001000101010010010101001001101101010110110101011101111010100010101001001101101010111011
100001101001000111011010011110001000010000110100100011010010001110110100111011010011110111101000011010010001110110100111101

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

1000000
0100000
0000010
0010000
0001000
0000100
0000001