The generator matrix 1 0 0 1 1 1 0 1 0 7 6 1 0 0 1 5 7 1 generates a code of length 6 over Z9 who´s minimum homogenous weight is 8. Homogenous weight enumerator: w(x)=1x^0+36x^8+60x^9+54x^10+144x^11+120x^12+108x^13+144x^14+60x^15+2x^18 The gray image is a code over GF(3) with n=18, k=6 and d=8. This code was found by Heurico 1.16 in 0.000411 seconds.