The generator matrix

 1  0  0  0  1  1  1  0  2
 0  1  0  0  2  1  3  1  0
 0  0  1  0  3  1  6  1  0
 0  0  0  1  1  6  3  1  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+180x^4+704x^5+2768x^6+6912x^7+13470x^8+17536x^9+13344x^10+6912x^11+2852x^12+704x^13+144x^14+9x^16

The gray image is a code over GF(2) with n=36, k=16 and d=8.
This code was found by Heurico 1.16 in 1.51 seconds.