length n = 54
dimension k = 4
alphabet length q = 5

minimum distance d = 41

generator matrix:

0	0	0	0	0	0	1	1	1	1	1	1	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
0	0	1	1	1	1	0	0	0	0	2	3	1	1	1	1	1	1	0	0	0	0	0	0	2	2	2	2	3	3	3	3	4	4	4	4	1	1	2	3	1	1	2	3	1	1	4	4	1	1	2	2	3	3
1	1	0	0	2	3	0	0	2	3	0	0	2	2	3	3	4	4	2	2	3	3	4	4	0	0	3	4	0	0	2	4	0	0	2	3	1	2	1	3	1	3	2	1	1	4	1	4	2	3	1	2	1	3
2	3	2	3	0	0	2	3	0	0	0	0	3	4	2	4	2	3	3	4	2	4	2	3	3	4	0	0	2	4	0	0	2	3	0	0	2	1	1	3	3	1	2	1	4	1	1	4	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