length n = 80
dimension k = 5
alphabet length q = 4

minimum distance d = 57

generator matrix:
00000011110001100001111110011100111001110011111111001111111111111111111111111111
00111100000010100110011230102311001110011100112233110011223312233122331111222333
00002300231100011232300001110001011030321313110201333322030211213112132233333222
11000023000110013210003203201010110102303111032011122303232021131321112323223233
23230000001001031002130013020311100231001131302210231230301222133322313232131112

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

00100
00010
10000
01000
00001