length n = 54
dimension k = 3
alphabet length q = 4

minimum distance d = 40

generator matrix:

0	1	0	1	0	1	0	0	0	1	0	1	0	1	0	1	0	1	0	1	0	1	0	1	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
0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	3	1	3	1	3	1	2	1	2	1	2	0	0	0	0	0	0	0	1	1	1	1	3	1	3	1	2	1	2	2	2	2	2	3	2	3	3	3	3
1	0	1	0	1	0	0	0	1	0	1	0	1	0	2	0	2	0	2	0	3	0	3	0	3	0	1	2	3	2	3	2	3	1	1	1	2	3	2	3	3	2	3	2	1	1	1	3	2	3	2	1	1	1

projective group of automorphisms generated by:

0	0	1
0	1	0
1	0	0

1	0	0
0	1	0
0	0	1