The generator matrix 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 8 0 0 0 0 0 6 0 0 0 0 0 0 3 0 0 0 0 0 0 3 generates a code of length 6 over Z9 who´s minimum homogenous weight is 3. Homogenous weight enumerator: w(x)=1x^0+12x^3+54x^4+114x^6+432x^7+486x^8+484x^9+2754x^10+1944x^11+5262x^12+4644x^13+1944x^14+624x^15+864x^16+64x^18 The gray image is a code over GF(3) with n=18, k=9 and d=3. This code was found by Heurico 1.16 in 0.0333 seconds.