The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  4  2  4
 0  2  0  0  8 10  6  6  8 10  4  4 10 14  4  2  4  2 10  4
 0  0  2  0 10 10 10  8  0 10 14 12 14 12 14 12  6  8 12  2
 0  0  0  2  2  8 10  2  4  4 10  6  6  8  0  0 10  4 12  0

generates a code of length 20 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+203x^16+428x^17+1000x^18+1520x^19+1960x^20+1480x^21+984x^22+368x^23+184x^24+44x^25+16x^26+4x^28

The gray image is a code over GF(2) with n=160, k=13 and d=64.
This code was found by Heurico 1.16 in 0.296 seconds.