The generator matrix

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

generates a code of length 10 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+7x^8+112x^10+7x^12+1x^20

The gray image is a code over GF(2) with n=80, k=7 and d=32.
This code was found by Heurico 1.16 in 0.000631 seconds.