The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+205x^14+472x^15+1691x^16+3144x^17+6795x^18+12752x^19+15309x^20+12752x^21+6997x^22+3256x^23+1535x^24+360x^25+209x^26+32x^27+23x^28+2x^30+1x^32

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 11 seconds.