length n = 7
dimension k = 6
alphabet length q = 5

minimum distance d = 2

generator matrix:
1111111
1111144
1111414
1114114
1141114
1411114

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

000001
001000
100000
000100
000010
010000