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

minimum distance d = 22

generator matrix:
00010111000111111111000111111111
00101011111000112233111000112233
01001101123123020103123123030201
10001110213213201030321321302010

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001