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

minimum distance d = 28

generator matrix:
0111111111111111111111111111111111111111
1014411144112223334411222222333333444444
1440111414231231243424122334224444123333
4401414114342413213233434144342222231234
4144041114233424131242343433411234342222

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

10000
00100
01000
00001
00010