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

minimum distance d = 126

generator matrix:
000100010001110001110000001111110000001111110111011100011111111100011111111100011111111100011111111101110111011101111111111111111111111111111111111111111111111111111111
001000100110010110010011110000230011110000231011101111100011223311100011223311100011223311100011223310231023102310231123112311231123112233112233112222233333112222233333
010001001010101010101100230023001100230023001101110112312302010312312302010312312303020112312303020123022302323032301213121313211321231213231213231233312223231233312223
100010001101001101002323002300002323002300001110111021321320103021321320103032132130201032132130201032303230230223022113211331213121232131232131323312321232323312321232

projective group of automorphisms generated by:
0010
0100
0001
1000

0010
0001
1000
0100