The generator matrix

 1  1  1  1  1  2  1  2  1
 0  2  0  0  0  4  2  4  0
 0  0  2  0  0  2  2  2  0
 0  0  0  2  0  2  4  0  0
 0  0  0  0  2  2  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+34x^4+28x^5+97x^6+178x^7+377x^8+608x^9+386x^10+188x^11+96x^12+20x^13+29x^14+2x^15+4x^16

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 0.0051 seconds.