length n = 54
dimension k = 4
alphabet length q = 2

minimum distance d = 28

generator matrix:
000000000001010101010101010101010101010101111111111111
000000000010101010101010101010101010101010111111111111
000111111100000000000000001111111111111111000001111111
111000111100000000111111110000000011111111001110001111

projective group of automorphisms generated by:
1000
0100
0010
0001

0100
1000
0010
0001