length n = 32
dimension k = 5
alphabet length q = 7

minimum distance d = 23

generator matrix:
00000011111111111111111111111111
01111100112233445566112233445566
00002500162534342516341625251634
03560034111166116666222255225555
10000000345261162543614352253416

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

10000
03000
00300
00060
00002