length n = 54
dimension k = 9
alphabet length q = 3

minimum distance d = 28

generator matrix:
011111111011111111111111111111111111111111111111111111
101111111101112222111111111111111122222222222222222222
110111111110221122111111222222222211111111112222222222
111011111122121201112222111122222211112222221111112222
111101111221201212221122112211222222221111221111221122
111110111221022121122212221222111212221122121122121112
111111011212122012222211222211122121121212221212112211
111111101212210221211222222112112222212122112211211211
111111110122212110222121121222221121212221212221121111

projective group of automorphisms generated by:
000010000
000000001
010000000
100000000
000001000
000100000
000000100
001000000
000000010

001000000
100000000
010000000
000001000
000000010
000000100
000000001
000100000
000010000