length n = 242
dimension k = 6
alphabet length q = 4

minimum distance d = 176

generator matrix:
00000000000000011111111111111100000000001111111111000001111100000000000000011111111111111100000000001111111111111111111100000000001111111111111111111101111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
00000011111111100000000011223300001111110000002233001110001100000011111111100000000011223300111111110000000011111122233300111111110000000011222223333310111111111111222233331111222333111111112222222222233333333333111122222222333333331223312233
00011100011223300011223300000000110022330022330000110010010111111100000012300000012303020111001122330011223300111200100311002223330022233323000120001311011111112333122211131233122113111223331122233333311122222233223311223333112222332132332312
11112312300000000002010302010311232300000003020302010111100000012300012332111223300000000012121101031102110302002011003323230120131103302200033030220211101111332113212211312213211133223232232311211123322311123333232323331123231123223322121323
12300021302010312320103000000023003203022330200000111000101012332112300000003020100030201011210210331220013311020101030011323032022330320232201003010011110113132131221213112133212311232111333213312332323212321212332232132331322312122313233221
21321300020103021300000020103032320030203200003020101101010032100032132100030201032100000021112011302111103020200010133032113302203221031000330302202011111013312311222131112231121331322322321131321322113321333221323233313212223231213231223132

projective group of automorphisms generated by:
000010
010000
100000
001000
000001
000100

010000
000001
000010
001000
000100
100000