The generator matrix

 1  1  1  1  1  1  1  2  1  0  1  2 12  1  2  0  1  1  2  0
 0  2 12  6  0  6 12  6 10  2  0 10  2  6  6  2 12  0  0  2
 0  0  8  0  0  0  0  0  0  0  0  8  8  0  8  8  8  0  8  0
 0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  0  8  0  0  8  0
 0  0  0  0  0  8  0  0  8  8  0  0  8  0  0  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  0  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+55x^14+16x^15+202x^16+336x^17+829x^18+1952x^19+1396x^20+1952x^21+870x^22+336x^23+180x^24+16x^25+34x^26+12x^28+3x^30+1x^32+1x^34

The gray image is a code over GF(2) with n=160, k=13 and d=56.
This code was found by Heurico 1.16 in 0.293 seconds.