The generator matrix

 1  1  1  1  1  1  2  1  0  1  2  1  1 12  2  1  1  2  2  2  2
 0  2 12  6  0  6  6 12  2 10 10  0  6  2  6 12 10  6  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  0  8  8  8  8  8
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  8  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  0  0  8  8  0  8
 0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  0  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+70x^14+32x^15+214x^16+256x^17+826x^18+992x^19+4992x^20+1536x^21+5068x^22+992x^23+896x^24+256x^25+164x^26+32x^27+32x^28+14x^30+9x^32+2x^34

The gray image is a code over GF(2) with n=168, k=14 and d=56.
This code was found by Heurico 1.16 in 16.8 seconds.