length n = 55
dimension k = 4
alphabet length q = 2

minimum distance d = 28

generator matrix:
0000000000001010101010101010101010101010101111111111111
0000000000011111111111111111111111111111111000000000000
0001111111101010101010101011010101010101010000000001111
1110000111100000000111111110000000011111111000011110111

projective group of automorphisms generated by:
1100
0100
0110
0001