length n = 45
dimension k = 4
alphabet length q = 9

minimum distance d = 36

generator matrix:
000111111111000111111111111111111111111111111
111000116688111000115577122112222334468115577
168168060108157157070501212241248361232571517
618618601080751751705010221424812632132575171

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001