The generator matrix

 1  1  1  1  1  1  1  1  2  2
 0 12  0  4  0  8 12 12  8  0
 0  0 12  4  0  4  4  8  4 12
 0  0  0  8  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+78x^8+352x^10+80x^12+1x^16

The gray image is a code over GF(2) with n=80, k=9 and d=32.
This code was found by Heurico 1.16 in 0.0016 seconds.