The generator matrix

 1  0  1  1  1  6  1  1  1  1
 0  1  3  6  5  1 12 10 15  5
 0  0  8  0  8  0  0  8  8  0
 0  0  0  8  8  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+67x^8+288x^9+312x^10+288x^11+66x^12+2x^16

The gray image is a code over GF(2) with n=80, k=10 and d=32.
This code was found by Heurico 1.16 in 0.00229 seconds.