length n = 45
dimension k = 4
alphabet length q = 4

minimum distance d = 32

generator matrix:
000100011100011111111111111111111111111111111
001001100111100011223311123112233112222233333
010010101012312302010311213231213231233312223
100011010021321320103012113232131323312321232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001