The generator matrix

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

generates a code of length 21 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+88x^14+208x^15+609x^16+1382x^17+3012x^18+7350x^19+12742x^20+14810x^21+12497x^22+7514x^23+3178x^24+1322x^25+547x^26+154x^27+78x^28+22x^29+15x^30+6x^31+1x^34

The gray image is a code over GF(2) with n=168, k=16 and d=56.
This code was found by Heurico 1.16 in 13.2 seconds.