length n = 10
dimension k = 8
alphabet length q = 3

minimum distance d = 2

generator matrix:
0000000111
0000001011
0000010011
0000100011
0001000011
0010000011
0100000011
1000000011

projective group of automorphisms generated by:
00000001
10000000
01000000
00100000
00010000
00001000
00000100
00000010

01000000
10000000
00100000
00010000
00001000
00000100
00000010
00000001