length n = 55
dimension k = 4
alphabet length q = 3

minimum distance d = 36

generator matrix:
0001001001001001001011011011011011011111111111111111111
0010010010010010010101101101101102102111122122122122122
0100100100100100100110110110110220220111212212212212212
1000000111111222222000111111222121212012000000112112221

projective group of automorphisms generated by:
0100
0010
1000
0001

0100
0010
1000
0001