length n = 40
dimension k = 5
alphabet length q = 8

minimum distance d = 28

generator matrix:
0000111111111111111111111111111111111111
0111000111222222333444555555555666666777
0567125127000156035134012223467012467333
0263427127347353764777750126466567104046
1771566662552315211363357573573566672133

projective group of automorphisms generated by:
00010
10010
01040
00160
00001