The generator matrix

 1  0  1  1  1 12  1  1 10  1  1  6  1  1  0  1  0  6  1  1
 0  1  1 12 11  1  2  7  1  6 13  1  8 15  2  2  0  1  4  0
 0  0  2  6  4  6  2  2  6  0  4  0  4  6  6  4  2  0  2  0
 0  0  0  8  0  0  0  8  8  8  0  0  8  0  0  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0  8  0  0
 0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+42x^14+138x^15+381x^16+1576x^17+3264x^18+6226x^19+9516x^20+6224x^21+3300x^22+1566x^23+330x^24+136x^25+48x^26+6x^27+12x^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 2.05 seconds.