length n = 29
dimension k = 7
alphabet length q = 3

minimum distance d = 15

generator matrix:
01111111111111111111111111111
10112221111112211111122222222
22120121111121211222211112222
11221021111211222112211221122
21022211112111212122222121211
22211201121111222221112122112
12202111211111222211221212211

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

0010000
0001000
0000100
1000000
0000001
0100000
0000010