The generator matrix

 1  0  0  1  1  1  1  1  1
 0  1  0  1  0  0  0  0  0
 0  0  1  1  0  0  0  0  0
 0  0  0  2  0  2  0  0  0
 0  0  0  0  2  2  0  0  0
 0  0  0  0  0  4  0  0  0
 0  0  0  0  0  0  4  0  0
 0  0  0  0  0  0  0  4  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+71x^2+144x^3+710x^4+848x^5+2042x^6+5040x^7+11512x^8+24800x^9+11512x^10+5040x^11+2042x^12+848x^13+710x^14+144x^15+71x^16+1x^18

The gray image is a code over GF(2) with n=36, k=16 and d=4.
This code was found by Heurico 1.16 in 0.758 seconds.