The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  4  1  1  1
 0 12  0  4  0  8 12 12  0  8  4 12  8  0  0  4 12  8  0  0
 0  0 12  4  0  4  4  8  0  4  4  0  4 12  4 12  8  8  8  0
 0  0  0  8  0  0  8  0  8  8  0  8  0  0  8  8  0  8  0  0
 0  0  0  0  8  8  8  8  8  8  0  8  8  8  0  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+35x^16+48x^17+15x^18+272x^19+276x^20+288x^21+36x^22+16x^23+8x^24+16x^25+12x^26+1x^34

The gray image is a code over GF(2) with n=160, k=10 and d=64.
This code was found by Heurico 1.16 in 0.00964 seconds.