The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  2  1  1  0  2
 0  2  0  0  0  2  6  2 12  4  8  2 10  6 14  8  6  0  0  6
 0  0  2  0  2  2  2  4  6  6  6  4  2  6 10  6  6  6  8 10
 0  0  0  2  2  0  2  6 14  2  4  2  0  2  8  6 10  8  2 10
 0  0  0  0  4  0  0  0  8  0  8 12 12 12  4 12  4 12  8  8
 0  0  0  0  0  8  8  0  8  0  0  0  8  8  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+203x^14+576x^15+1492x^16+3144x^17+6932x^18+12664x^19+15511x^20+12624x^21+6953x^22+3248x^23+1471x^24+488x^25+183x^26+24x^27+21x^28+1x^34

The gray image is a code over GF(2) with n=160, k=16 and d=56.
This code was found by Heurico 1.16 in 12.2 seconds.