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

minimum distance d = 37

generator matrix:

0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	2
1	1	1	1	0	0	0	0	1	1	1	1	2	2	2	2	2	0	0	0	0	0	1	1	1	1	2	2	2	2	2	0	0	0	0	1	1	1	1	2	2	2	2	0	0	0	0	1	1	1	1	2	2	2	2

projective group of automorphisms generated by:

1	0	0
0	1	0
0	0	1

1	0	0
0	1	0
0	0	1