The generator matrix

 1  0  1  2  1  1  1  1  1
 0  1 11  0  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  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+45x^2+48x^3+288x^4+288x^5+840x^6+1616x^7+11114x^8+37056x^9+11114x^10+1616x^11+840x^12+288x^13+288x^14+48x^15+45x^16+1x^18

The gray image is a code over GF(2) with n=72, k=16 and d=8.
This code was found by Heurico 1.16 in 0.312 seconds.