length n = 57
dimension k = 4
alphabet length q = 2

minimum distance d = 30

generator matrix:
000000000000000000000000011111111111111111111111111111111
000000000111111111111111100000000000000001111111111111111
000111111010101010101010101010101010101010000000011111111
111000111000000001111111100000000111111110000111100001111

projective group of automorphisms generated by:
1000
0100
1110
0001