length n = 56
dimension k = 4
alphabet length q = 2

minimum distance d = 29

generator matrix:
00000000000000000000000011111111111111111111111111111111
00000000000111111111111101010101010101010101010101010101
00011111111000001111111100000000000000001111111111111111
11100001111001110000111100000000111111110000000011111111

projective group of automorphisms generated by:
1000
1100
0010
0001