The generator matrix

 1  1  1  1  1  1  1  1  2
 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  0  4
 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

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

Homogenous weight enumerator: w(x)=1x^0+148x^4+560x^6+1374x^8+4096x^9+1248x^10+644x^12+112x^14+9x^16

The gray image is a code over GF(2) with n=36, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0647 seconds.