length n = 27
dimension k = 5
alphabet length q = 5

minimum distance d = 18

generator matrix:

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

projective group of automorphisms generated by:

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