length n = 39
dimension k = 6
alphabet length q = 5

minimum distance d = 24

generator matrix:
000000000011111111111111111111111111111
001111111100000000111111444444111111123
110011444400114444001114000014111111321
141104011414110014040040014410111113121
411411401011041410400400110404111131121
114140410441401404114001104000111311121

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

001000
000100
000001
000010
010000
100000