length n = 38
dimension k = 4
alphabet length q = 5

minimum distance d = 29

generator matrix:
00000011111100011111111111111111111111
00111100002311100022334411231123112233
11002300230022433400240212131321231213
23230023000034324234003021133121232131

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100