The generator matrix

 1  0  1  1  1 14  1  1  4  1  1  4  6  8  1  0  1  6  6  0
 0  1  1  4  7  1  2  3  1  5  6  1  1  1  8  1 15  1  1  1
 0  0  2  2  2  4 10  0  2  0  8 12  8  4 10  6 14 14 14  0
 0  0  0  8  0  0  8  0  0  8  8  8  0  8  8  8  8  0  8  0
 0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+109x^16+330x^17+828x^18+1714x^19+2224x^20+1756x^21+828x^22+268x^23+98x^24+26x^25+4x^26+2x^27+4x^30

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 0.222 seconds.