The generator matrix

 1  1  1  1  1  1  1  1  1
 0  2  0  0  0  2  6  2  0
 0  0  2  0  2  2  6  0  0
 0  0  0  2  2  0  6  2  0
 0  0  0  0  4  0  0  4  0
 0  0  0  0  0  4  0  4  0
 0  0  0  0  0  0  4  4  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+77x^4+56x^5+175x^6+224x^7+259x^8+2512x^9+259x^10+224x^11+175x^12+56x^13+77x^14+1x^18

The gray image is a code over GF(2) with n=36, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0118 seconds.