The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1  2  4  1  1  1  1  2
 0 12  0  0  0  4 12 12  8  8  0  4 12 12  0  8  4 12 12  0
 0  0 12  0  4  4  4  0  8  0  4  4  8 12  4  0  8  8  0  0
 0  0  0 12  4  8  4  4  0  4  4  0  0 12 12 12  8  4  4 12
 0  0  0  0  8  8  0  8  8  8  0  8  0  0  8  0  8  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+104x^16+24x^17+148x^18+360x^19+784x^20+360x^21+160x^22+24x^23+50x^24+28x^26+4x^28+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 0.039 seconds.