The generator matrix

 1  1  1  1  1  1  1  1  2  8  2  0  1  2  4  1  1  1  2  2  1
 0  2  0 14  4  6 12  2  6  2 14  2  0  8  4 12  0  8  4  4  0
 0  0 12  4  4  0  0  4  0  4  4  0  0  4  4  0  8  4  4  4  8
 0  0  0  8  0  0  0  0  0  8  8  8  0  0  8  8  8  0  0  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  8
 0  0  0  0  0  8  0  0  8  0  8  8  0  8  0  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  8  0  0  0  8  0
 0  0  0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  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+32x^14+68x^15+224x^16+344x^17+678x^18+1716x^19+3160x^20+3928x^21+3164x^22+1740x^23+684x^24+328x^25+216x^26+60x^27+24x^28+8x^29+4x^30+3x^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 0.905 seconds.