The generator matrix

 1  0  0  1  1  1  6  1  1  1  4  1 14  4  1  1  1  1  1  1
 0  1  0  1  6  7  1  0 11 13  1  6  4  1  7  5 10  2 14  0
 0  0  1  1  3  2  3  6  7  4  2  5  1  1  1  3  6  4  2  0
 0  0  0  8  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  0
 0  0  0  0  8  0  0  8  8  0  8  8  8  0  0  0  0  0  8  0
 0  0  0  0  0  8  0  8  8  8  8  0  8  0  8  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  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+46x^14+156x^15+661x^16+3104x^17+5780x^18+14156x^19+17756x^20+14144x^21+5776x^22+3092x^23+642x^24+160x^25+44x^26+4x^27+12x^28+2x^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 6.11 seconds.