length n = 40
dimension k = 5
alphabet length q = 7

minimum distance d = 28

generator matrix:
1111111111111111111111111111111111111111
1111112223333444555511111122233344455566
1122331131125445345511225511533644611234
2313121311215454543525151215136346412134
3231213112115544545352512151163364421134

projective group of automorphisms generated by:
00100
00001
00010
10000
01000

00001
01000
00010
00100
10000