length n = 40
dimension k = 5
alphabet length q = 3

minimum distance d = 24

generator matrix:
0000100001111110000111111111111111111111
0001001110001111111000011111122222211122
0010010110110011122112200112200112211212
0100011011010101212121212020112010212112
1000011101101002112211221201012102021112

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

01000
10000
00100
00010
00001