The generator matrix

 1  1  2  2  1  1  1  1  1
 0  2  2  0  0  0  0  0  0
 0  0  4 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  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+29x^2+16x^3+176x^4+96x^5+504x^6+1136x^7+5434x^8+17984x^9+5434x^10+1136x^11+504x^12+96x^13+176x^14+16x^15+29x^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 0.155 seconds.