The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^16+126x^17+190x^18+484x^19+364x^20+486x^21+124x^22+152x^23+24x^24+26x^25+6x^26+4x^27+2x^29

The gray image is a code over GF(2) with n=160, k=11 and d=64.
This code was found by Heurico 1.16 in 0.0234 seconds.