length n = 27
dimension k = 6
alphabet length q = 9

minimum distance d = 11

generator matrix:

0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
0	0	0	0	0	0	0	1	1	0	0	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2
0	0	0	0	0	1	1	0	0	0	0	1	1	1	1	2	2	2	2	1	1	1	1	2	2	2	2
0	0	0	1	1	0	0	0	0	0	0	1	1	2	2	1	1	2	2	1	1	2	2	1	1	2	2
0	1	1	0	0	0	0	0	0	0	0	1	2	1	2	1	2	1	2	1	2	1	2	1	2	1	2
1	5	7	5	7	5	7	5	7	5	7	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

projective group of automorphisms generated by:

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

1	0	0	0	0	0
0	2	0	0	0	0
0	0	1	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	0	1	0	0
1	0	0	0	0	0
0	0	0	0	1	0
0	0	1	0	0	0
0	0	0	0	0	1

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