length n = 54
dimension k = 6
alphabet length q = 2

minimum distance d = 26

generator matrix:
000001000000000011111111110000011111111110111110111111
000010000011111100000011110111100001111111011111011111
000100011100011100011100011011101110001111101111101111
001000101101100101100100101101110110110011110111110111
010000110110101010101001001110111011010101111011111011
100000111011010011010010001111011101101001111101111101

projective group of automorphisms generated by:
000001
100000
010000
001000
000100
000010

010000
100000
001000
000100
000010
000001