The generator matrix

 1  0  1  1  1  2  1  1 10  1  1 14  1  1  1  1 14  1  1  1
 0  1  1  0  3  1 12  9  1 14 13  1  0 11 12  2  1  1 11  0
 0  0  2  0  6  0  2  8 10  6  0 10  4 10  4  2 14  6  8  0
 0  0  0  2  6  2  4 14 12  2  4 14 12  6  2  8  4  4 12  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  8  0  0  8  8  0  0  8  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+107x^14+424x^15+1063x^16+2418x^17+5556x^18+14300x^19+17748x^20+14286x^21+5664x^22+2528x^23+948x^24+318x^25+128x^26+28x^27+16x^28+2x^29+1x^30

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 8.09 seconds.