length n = 27
dimension k = 4
alphabet length q = 5

minimum distance d = 20

generator matrix:

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

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