length n = 244
dimension k = 6
alphabet length q = 4

minimum distance d = 176

generator matrix:
0000010000011111000000000011111111110000000000000001111111111111110000000000111111111111111111110000000000111111111111111111110111110000011111111111111111111111110000011111111111111111111111111111111111111111111111111111111111111111111111111111
0000100011100011000011111100000022330000001111111110000000001122330011111111000000001111112223330011111111000000001122222333331011111111100000111111112222223333331111100000111122222222333333331111231111231111111222233331111222222223333333312233
0001000101101100001100223300223300001111110000001230000001230201031100112233001122330011130020011100222333002223332300012000131101111112311123000222230111120133331223312233033300222333001112221112131113211112223111213332233112233331122223321323
0010001110000101112323000000030203020001230001232131122330000000001313110201110302110300300221102323012013110330220003303022021110112231312323123011232011203300113231221323202213011033230220331121131131211221123112131332323233311232311232233221
0100001010111000230032030223302000001232131230000000201030002010301131032210133022011103012000101132303202233032023220100301001111011231121311223202001102113313032132323132330332303202212021011211131311212121213121133133322321323313223121223132
1000001101010010323200302032000030202130002132130002010302130000003111302011311120103030002201013211330220322103100033030220201111102132322313213120131220011031302313233221222031330110323302202111133111212212113211133313232333132122232312132312

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

010000
000001
000010
001000
000100
100000