The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2
 0 12  0 12  0 12  0  4  8  0  0  8 12 12 12  4 12 12 12 12
 0  0  8  0  0  0  0  0  8  0  8  8  0  0  8  8  0  0  8  8
 0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0
 0  0  0  0  0  8  0  8  0  8  8  0  8  0  8  0  0  0  8  8
 0  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+174x^16+1696x^20+176x^24+1x^32

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 16.2 seconds.