The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^14+88x^15+288x^16+1060x^17+2396x^18+7584x^19+12112x^20+18364x^21+12123x^22+7608x^23+2396x^24+1052x^25+276x^26+80x^27+48x^28+4x^29+3x^30+3x^32+1x^38

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 7.15 seconds.