The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  0  1  4  2  2  1
 0  2  0  2  0  8  6  4  6  4 10  0  4 14 10  2  0  2  8  8 12
 0  0  2  2 12 14  6 12  8  2  6  0  2  4 14  8  2 10 14 14  4
 0  0  0  8  0  0  0  8  8  8  0  8  0  8  0  8  8  0  8  0  8
 0  0  0  0  8  8  0  0  8  0  0  8  0  8  8  0  8  8  8  8  8

generates a code of length 21 over Z16 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+116x^17+245x^18+498x^19+576x^20+1208x^21+646x^22+508x^23+153x^24+84x^25+37x^26+18x^27+6x^28

The gray image is a code over GF(2) with n=168, k=12 and d=68.
This code was found by Heurico 1.16 in 0.0737 seconds.