The generator matrix

 1  1  1  1  1  1  1  1  1  1
 0 12  0  4  0  0  0  0  0  0
 0  0 12  4  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+22x^2+141x^4+456x^6+1650x^8+28228x^10+1650x^12+456x^14+141x^16+22x^18+1x^20

The gray image is a code over GF(2) with n=80, k=15 and d=8.
This code was found by Heurico 1.16 in 0.216 seconds.