length n = 78
dimension k = 5
alphabet length q = 4

minimum distance d = 56

generator matrix:
000000011111110000111111111100001111111111001111100111110001111111111111111111
001111100112230011011222223301110011122333010112311122331111111222233300133331
010111203121201103013022331211230101111011121123312002221230113013300113300122
130033322331100011211202032223113020003223322231303210130023121011211333103301
112001123013211310312300230122123132312231013023112222233120323220302303120213

projective group of automorphisms generated by:
01133
13012
03012
32022
13311