length n = 45
dimension k = 4
alphabet length q = 5

minimum distance d = 34

generator matrix:
000100011111111111111111111111111111111111111
001011100011223311144112233112223334444223344
010012312302010311414231213241342341234342423
100021321320103014114232131424313242143434232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001