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

minimum distance d = 39

generator matrix:

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

projective group of automorphisms generated by:

0	0	0	1
1	0	0	0
0	1	0	0
0	0	1	0

0	1	0	0
1	0	0	0
0	0	1	0
0	0	0	1