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

minimum distance d = 22

generator matrix:
00001111000011111111111111111111
01110134011101340112234400122334
12340000123400001131331324224244
23443142321124134142233134411232
23442413413343214112323412323441

projective group of automorphisms generated by:
00100
42000
30000
00040
00001