length n = 32
dimension k = 5
alphabet length q = 4

minimum distance d = 21

generator matrix:
00000111000111111111111111111111
01111123111123000123000123112233
00123000123000222111333333121212
00132321213213123132123213211332
10333123111312321000321000311223

projective group of automorphisms generated by:
00100
00003
20000
00020
02000