The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+334x^16+160x^17+1156x^18+1376x^19+2140x^20+1376x^21+1192x^22+160x^23+264x^24+20x^26+12x^28+1x^32

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 49.8 seconds.