length n = 108
dimension k = 5
alphabet length q = 3

minimum distance d = 72

generator matrix:
000010001000100011100011100011100000011111101110111000111111111000111111111000111111111111111111111111111111
000100010001001100101100101100100111100002210111011111000112222111000112222111000112222111112211221122112222
001000100010010101010101010101011002200220011011101122122020012122122020012122122020012111121212121212221122
010001000100011010011010011010022220022000011101110212212201200212212201200212212201200111211221122112222211
100001111222200000011111122222212121212121211112222000000000000112112111212221221222121012000011122221121212

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

01000
10000
00010
00100
00001