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

minimum distance d = 31

generator matrix:
001110000111111001110011100111111111111111111
010110011001123010230102311001122331223312233
111001123230000111001110013131102011121311213
110011213000203230013201031110320112113132111
101102100132010203203020311313022102213332231

projective group of automorphisms generated by:
00010
00100
10000
00001
01000

00100
00010
10000
01000
00001