The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  2  1  4  1  1  1  1  4  2
 0 12  0  0  0  0  0  0  0  0  4 12  8 12  8  8  8  4  4  0  4
 0  0 12  0  0  0  0  0  0 12  4  4 12  8  0  8  4  0  8  8  4
 0  0  0 12  0  0  8 12 12  4  8  8 12  0  0 12  4 12  0  8 12
 0  0  0  0 12  0 12 12  4  8  0  0  8  0  8 12  0  4  4  4 12
 0  0  0  0  0 12  4  8  4  4  8 12  8  4 12  0  4  8 12 12  8

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

Homogenous weight enumerator: w(x)=1x^0+52x^14+134x^15+193x^16+294x^17+517x^18+1382x^19+3329x^20+4508x^21+3341x^22+1490x^23+535x^24+296x^25+167x^26+66x^27+35x^28+20x^29+19x^30+3x^32+2x^33

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 53.9 seconds.