The generator matrix

 1  1  1  1  2  1  1  1  1
 0 12  0  0 12  0  0  0  0
 0  0 12  0 12  0  0  0  0
 0  0  0 12 12  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+33x^2+220x^4+924x^6+4966x^8+20480x^9+4966x^10+924x^12+220x^14+33x^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 0.19 seconds.