The generator matrix

 1  0  0  1  1  1  6  1  1 12  1 14  1  1  1 14  1  1 12  1
 0  1  0  4  1 11  1  2 15  1  6  2 11  5  2  4  0  5  1  0
 0  0  1  7  1  4  3  2  3  3  5  1 14  0  7  1  2 10  6  0
 0  0  0  8  8  8  0  8  0  8  0  8  0  8  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+104x^16+394x^17+958x^18+1548x^19+2266x^20+1512x^21+882x^22+356x^23+133x^24+30x^25+6x^26+2x^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 0.156 seconds.