The generator matrix

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

generates a code of length 9 over Z8 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+29x^2+16x^3+176x^4+96x^5+504x^6+1136x^7+3386x^8+5696x^9+3386x^10+1136x^11+504x^12+96x^13+176x^14+16x^15+29x^16+1x^18

The gray image is a code over GF(2) with n=36, k=14 and d=4.
This code was found by Heurico 1.16 in 0.0636 seconds.