The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^2+302x^4+80x^5+722x^6+960x^7+976x^8+26592x^9+976x^10+960x^11+722x^12+80x^13+302x^14+47x^16+1x^18

The gray image is a code over GF(2) with n=72, k=15 and d=8.
This code was found by Heurico 1.16 in 0.152 seconds.