length n = 8
dimension k = 7
alphabet length q = 3

minimum distance d = 2

generator matrix:
00111111
01011111
01101111
01110111
01111011
01111101
10000002

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

0001000
0000010
0010000
1000000
0100000
0000100
0000001