length n = 39
dimension k = 4
alphabet length q = 4

minimum distance d = 28

generator matrix:
000000000111111111111111111111111111111
001011111001010102020303111213132223333
010101123010101020203030112131312232333
100220321100112200222233231111330333012

projective group of automorphisms generated by:
1000
0100
0010
0001

1000
0010
0100
0001