The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1  3  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  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+37x^2+232x^4+672x^6+4690x^8+21504x^9+4690x^10+672x^12+232x^14+37x^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 0.0717 seconds.