length n = 27
dimension k = 6
alphabet length q = 8

minimum distance d = 12

generator matrix:

0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	1
0	0	0	0	1	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	1	1	1	1	1	3	6
0	0	0	1	0	0	0	0	0	1	1	1	0	0	0	1	0	0	0	1	0	1	1	1	6	3	1
0	0	1	0	0	0	0	1	1	0	0	1	0	0	1	0	0	0	1	0	0	1	1	6	1	3	1
0	1	0	0	0	0	1	0	1	0	1	0	0	1	0	0	0	1	0	0	0	1	6	1	1	3	1
1	0	0	0	0	0	1	1	0	1	0	0	1	0	0	0	1	0	0	0	0	6	1	1	1	3	1

projective group of automorphisms generated by:

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

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

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

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