length n = 54
dimension k = 5
alphabet length q = 2

minimum distance d = 27

generator matrix:
000000000000000000000000001111111111111111111111111111
000000101010101010101111110000000101010101010101111111
000001010101010101010111110000001010101010101010111111
010110000010111111010001110010110000010111111010000111
111100000111100001111011000111100000111100001111001100

projective group of automorphisms generated by:
10000
00100
01000
00011
00001