The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+121x^16+100x^17+598x^18+756x^19+1620x^20+1864x^21+1558x^22+776x^23+566x^24+84x^25+114x^26+4x^27+28x^28+2x^30

The gray image is a code over GF(2) with n=168, k=13 and d=64.
This code was found by Heurico 1.16 in 0.321 seconds.