The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  0  2  2
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  5  6  1  0  0
 0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  8  8  8  0  8  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  8
 0  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  8  8  8
 0  0  0  0  0  0  8  0  8  0  8  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  8  0  0  0  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+55x^14+32x^15+246x^16+544x^17+1479x^18+4544x^19+2582x^20+4544x^21+1488x^22+544x^23+238x^24+32x^25+48x^26+2x^28+1x^30+3x^32+1x^34

The gray image is a code over GF(2) with n=160, k=14 and d=56.
This code was found by Heurico 1.16 in 0.875 seconds.