length n = 123
dimension k = 15
alphabet length q = 2

minimum distance d = 28

generator matrix:
000000000000001000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000010011111111111110000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000100101111111111110111111111111000000000000111111111111111111111111111111111111111111111111111111111111111111111
000000000001000110111111111111011111111111011111111111000000000001111111111111111111111111111111111111111111111111111111111
000000000010000111011111111111101111111111101111111111011111111110000000000111111111111111111111111111111111111111111111111
000000000100000111101111111111110111111111110111111111101111111110111111111000000000111111111111111111111111111111111111111
000000001000000111110111111111111011111111111011111111110111111111011111111011111111000000001111111111111111111111111111111
000000010000000111111011111111111101111111111101111111111011111111101111111101111111011111110000000111111111111111111111111
000000100000000111111101111111111110111111111110111111111101111111110111111110111111101111110111111000000111111111111111111
000001000000000111111110111111111111011111111111011111111110111111111011111111011111110111111011111011111000001111111111111
000010000000000111111111011111111111101111111111101111111111011111111101111111101111111011111101111101111011110000111111111
000100000000000111111111101111111111110111111111110111111111101111111110111111110111111101111110111110111101110111000111111
001000000000000111111111110111111111111011111111111011111111110111111111011111111011111110111111011111011110111011011001111
010000000000000111111111111011111111111101111111111101111111111011111111101111111101111111011111101111101111011101101010111
100000000000000111111111111101111111111110111111111110111111111101111111110111111110111111101111110111110111101110110100111

projective group of automorphisms generated by:
000000000000001
100000000000000
010000000000000
001000000000000
000100000000000
000010000000000
000001000000000
000000100000000
000000010000000
000000001000000
000000000100000
000000000010000
000000000001000
000000000000100
000000000000010

010000000000000
100000000000000
001000000000000
000100000000000
000010000000000
000001000000000
000000100000000
000000010000000
000000001000000
000000000100000
000000000010000
000000000001000
000000000000100
000000000000010
000000000000001