The generator matrix

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

generates a code of length 9 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+21x^2+120x^4+336x^6+384x^7+546x^8+13568x^9+546x^10+384x^11+336x^12+120x^14+21x^16+1x^18

The gray image is a code over GF(2) with n=72, k=14 and d=8.
This code was found by Heurico 1.16 in 0.0548 seconds.