length n = 96
dimension k = 5
alphabet length q = 4

minimum distance d = 69

generator matrix:
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000000000111222333000000000111222333123111111222222333333123111111222222333333111222333
111222333111222333123123123111222333123123123000000123000123000123000000123000123000123123123123
000000000123123123000000000123123123000000000132111111333333222222321333333222222111111222111333
123123123132213321123231312321132213231312123000123000123000123000000123000123000123000231312123

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

10000
02000
00100
00030
00002