The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+13x^2+64x^4+168x^6+1290x^8+1024x^9+1290x^10+168x^12+64x^14+13x^16+1x^18

The gray image is a code over GF(2) with n=36, k=12 and d=4.
This code was found by Heurico 1.16 in 0.00883 seconds.