The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+117x^14+164x^15+812x^16+1180x^17+3911x^18+5296x^19+9727x^20+5336x^21+4069x^22+1188x^23+647x^24+140x^25+157x^26+8x^27+13x^28+2x^30

The gray image is a code over GF(2) with n=160, k=15 and d=56.
This code was found by Heurico 1.16 in 87.1 seconds.