length n = 7
dimension k = 6
alphabet length q = 3

minimum distance d = 2

generator matrix:
0000011
0000101
0001001
0010001
0100001
1000001

projective group of automorphisms generated by:
100000
000001
001000
010000
000010
000100

001000
100000
000010
000100
000001
010000