length n = 178
dimension k = 5
alphabet length q = 3

minimum distance d = 117

generator matrix:

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

projective group of automorphisms generated by:

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