length n = 26
dimension k = 7
alphabet length q = 3

minimum distance d = 14

generator matrix:
00000011111111111111111111
00011100000011111122222222
11101201122201122200000122
11202010100211200200012101
22012221212012201102220202
11001100121211000021211222
02010210112222002121111212

projective group of automorphisms generated by:
0122000
0002220
0002221
0201110
0020220
2210010
2000100