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

minimum distance d = 40

generator matrix:

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

projective group of automorphisms generated by:

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