length n = 28
dimension k = 5
alphabet length q = 5

minimum distance d = 19

generator matrix:
0000111111111111111111111111
1111000000111112333344440121
1334111344222343012411330313
4133123412013423411313241303
1214132001012210323023244200

projective group of automorphisms generated by:
34000
42201
32343
03012
14000