The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1 14  4  1  1  6  8  1
 0  1 11  6  1  1  0  3  1 14  1  5  0  1 12  6 13  1  4 14
 0  0 12  0  0  0  0  0  0  8  8  4  4  4  8  4  4  8  8  4
 0  0  0 12  0  0 12  8 12  8  4  4  8  0 12  4 12  0 12 12
 0  0  0  0  4  4 12  8  4 12  0  8  4  8 12  0  4  8  0 12
 0  0  0  0  0  8  8  8  8  8  0  0  0  8  0  8  8  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+51x^14+214x^15+554x^16+1736x^17+3715x^18+6258x^19+7727x^20+6224x^21+3740x^22+1738x^23+549x^24+200x^25+45x^26+14x^27+1x^28+1x^38

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 2.37 seconds.