The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  1  2  4  1  1  1  2  1  2
 0  2  0  6  4  6 12  2  6  2  6 14 14  2  6  0  8 14  6 14
 0  0 12  0  4  0  0  8  8  4  4 12  8  4  4 12  0  4  0 12
 0  0  0 12  0  0  8  4  8  4 12  8  4  8  4  4  4  8  0  8
 0  0  0  0  8  8  8  8  0  0  0  8  0  0  8  8  0  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+139x^16+112x^17+548x^18+656x^19+1214x^20+656x^21+520x^22+112x^23+108x^24+20x^26+10x^28

The gray image is a code over GF(2) with n=160, k=12 and d=64.
This code was found by Heurico 1.16 in 0.0801 seconds.