The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+39x^16+96x^18+64x^19+639x^20+64x^21+80x^22+24x^24+16x^26+1x^36

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.