The generator matrix

 1  0  1  1  1  4  1 10  1  1  1  2 14  1  2  1  1  1  1  1  1
 0  1  1  0 11  1 10  1  6  7  5 12  1  4  2 12  3 11 12  8  0
 0  0  2  6  4  6 14  6  4  6  4  2  4  2  2  2  6  4 14  0  0
 0  0  0 12  0  4  0  8  4  4 12  4  0  8  8 12  0  8  0  4  0
 0  0  0  0  8  0  0  8  8  0  0  0  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  0  8  0  8  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^14+126x^15+454x^16+1170x^17+2819x^18+7042x^19+11521x^20+19158x^21+11542x^22+7058x^23+2824x^24+1166x^25+436x^26+110x^27+46x^28+10x^29+4x^30+1x^32+1x^34+1x^36

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 7.82 seconds.