The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+57x^2+96x^3+484x^4+576x^5+2292x^6+4512x^7+15598x^8+18304x^9+15598x^10+4512x^11+2292x^12+576x^13+484x^14+96x^15+57x^16+1x^18

The gray image is a code over GF(2) with n=36, k=16 and d=4.
This code was found by Heurico 1.16 in 0.761 seconds.