The generator matrix

 1  1  1  1  2  2  2  2  1
 0  2  0  2  0  2  2  0  0
 0  0  2  2  2  2  0  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  0

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

Homogenous weight enumerator: w(x)=1x^0+45x^4+32x^5+79x^6+320x^7+131x^8+832x^9+131x^10+320x^11+79x^12+32x^13+45x^14+1x^18

The gray image is a code over GF(2) with n=36, k=11 and d=8.
This code was found by Heurico 1.16 in 0.0044 seconds.