The generator matrix

 1  0  1  1  1  1  1  1  1  1
 0  1  3  0  0  0  0  0  0  0
 0  0  8  0  0  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0
 0  0  0  0  0  0  0  8  0  0
 0  0  0  0  0  0  0  0  8  0
 0  0  0  0  0  0  0  0  0  8

generates a code of length 10 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+38x^2+269x^4+904x^6+1778x^8+7168x^9+45220x^10+7168x^11+1778x^12+904x^14+269x^16+38x^18+1x^20

The gray image is a code over GF(2) with n=80, k=16 and d=8.
This code was found by Heurico 1.16 in 0.338 seconds.