length n = 29
dimension k = 5
alphabet length q = 4

minimum distance d = 19

generator matrix:
01000111000000111111111111111
00000123111111123000123112233
10111000000123000111222333333
00123321123321213123132231213
00321000222333123132000311232

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