length n = 168
dimension k = 6
alphabet length q = 4

minimum distance d = 120

generator matrix:
000001111111111111111000001111111111111111000001111111111111111000001111111111111111000001111111111111111000001111111111111111000001111111111111111000001111111111111111
000110000001122333333000110000001122222233001110001112223333333000110011111122222233011110000111122223333011110000111122223333011110000111122223333111110000011111233333
011330011130213022233011120012331100122323010000230011220011122001010312222301223333101130233012201130123100330012000302230113100230113011211230123112221112311233302223
001130200102300311302112300020110123213233100003010202332200323113321300133233010101030033212110212231201012011330013130323232103112012323003213101031120220222012021112
101131200133013222103031202302232221211003010132231112020223320233110123002211120201013332321133110002230231112100132120022011121022130102203231310232322120201110030122
333233303003132101101033033031300122313233212111221022000123101231113022002110201112020312103020200113300100201100000203222223010010121012123212123122201301202202031331

projective group of automorphisms generated by:
202132
012212
223111
220232
321211
310323