length n = 27
dimension k = 8
alphabet length q = 4

minimum distance d = 8

generator matrix:

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

projective group of automorphisms generated by:

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

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