The generator matrix

 1  0  1  1  1  1  1  1  1
 0  1  1  0  0  0  0  0  0
 0  0  2  0  2  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+41x^2+32x^3+308x^4+192x^5+1252x^6+736x^7+8638x^8+10368x^9+8638x^10+736x^11+1252x^12+192x^13+308x^14+32x^15+41x^16+1x^18

The gray image is a code over GF(2) with n=36, k=15 and d=4.
This code was found by Heurico 1.16 in 0.25 seconds.