The generator matrix 1 0 0 0 1 1 0 1 0 0 7 6 0 0 1 0 5 6 0 0 0 1 5 7 generates a code of length 6 over Z9 who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+84x^6+54x^7+162x^8+382x^9+972x^10+648x^11+1170x^12+1782x^13+648x^14+546x^15+108x^16+4x^18 The gray image is a code over GF(3) with n=18, k=8 and d=6. This code was found by Heurico 1.13 in 0 seconds.