length n = 27
dimension k = 6
alphabet length q = 5

minimum distance d = 16

generator matrix:

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

projective group of automorphisms generated by:

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

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