length n = 78
dimension k = 5
alphabet length q = 5

minimum distance d = 58

generator matrix:
000111111111100111111111110011111111111000111111111100111111111110011111111111
011011124444401000111222340100011122234111001224444411001112233441100111223344
024001210123412333223023131412422344404023442340124401111132223013312033232402
112102220323001033113140333201423011401330133323040142010302312041302002343011
414421344232433124230130112113013114220424042012412221344344043140221123122311

projective group of automorphisms generated by:
41233
22240
13413
32040
40040