length n = 136
dimension k = 6
alphabet length q = 3

minimum distance d = 87

generator matrix:
0001001100000000111111111111111111111111000000000000000011111111111111110000000011111111111111111111111111111111111111111111111111111111
0000000000000000000000001111111122222222111111111111111111111111222222221111111100000000000000001111222211111111222222221111111122222222
0010110011111111111122220000112200001122000000001111222200001122000011221111222200000000111122221122112211112222111122221111222211112222
0000000011112222112211220000000000000000111122221122112211221212112212120000000011112222112211220000000011221122112211221122112211221122
0100120011221122121212121122000011220000112211220000000012120000121200001122112211221122000000001212121212121212121212121212121212121212
1000001212121212000000001212121212121212121212121212121200000000000000001212121212121212121212120000000012212112211212212112122112212112

projective group of automorphisms generated by:
001000
000100
000001
010000
100000
000010

100000
010000
002000
000200
000020
000002