length n = 45
dimension k = 4
alphabet length q = 3

minimum distance d = 29

generator matrix:
000100010011001101011101110111011101111111111
001000100101010210101110121012102210121112222
010001001100120001110112201220210122021121211
100010001010202010111022012201122021201211222

projective group of automorphisms generated by:
1000
0100
0010
0001

0001
1000
0100
0010