length n = 135
dimension k = 7
alphabet length q = 3

minimum distance d = 84

generator matrix:
000000000000000000000000111111111111111111000000111111110000000000001111111111111111111111111111110000001111111111111111111111111111111
000000000000111111111111000000000000112222001111000011220011111111110000000000111111111111222222220111110000011112222221111111122222222
000000111111000000112222000000112222000000010122012201001100111111220011111122000000111222001112221011220112200220011221111222211112222
001111001122000022020001001222000000000012110201210000121222011112021200112212011112002011010010221122022021202011102021122112211221122
111222120000001200200020000012020001020200211020100102021212100221121212020112201120111001210102002212202211012200220011112122222121211
220012000202122200001200122100200020000000102021122010002212112011101221111010120201020100211012021202111220120021210201122221112211212
122100222010210012000000220000001200201000121100002120101212221100122211201102112011200110201100202120211202222102001101122211222112121

projective group of automorphisms generated by:
0000100
0010000
0000010
1000000
0100000
0001000
0000001

0000010
0000100
0010000
0000001
0100000
1000000
0001000