The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 1 3 3 1 1 1 3 1 1 3 1 3 1 0 1 3 0 3 1 1 0 3 0 0 0 0 0 0 0 0 3 6 6 3 3 3 0 3 6 6 0 3 6 3 3 3 0 6 3 3 3 0 3 0 3 3 6 6 0 6 0 0 6 0 6 6 6 0 3 6 3 6 6 6 6 6 0 0 6 0 3 6 6 0 3 3 0 3 0 3 6 6 3 3 0 3 3 3 0 3 6 3 0 0 3 3 0 0 3 0 0 0 0 3 6 6 6 0 0 6 3 6 3 3 0 3 6 0 0 3 6 3 3 3 6 6 3 0 3 0 3 0 3 0 6 6 0 6 0 3 6 6 3 3 3 0 0 3 0 3 3 6 6 3 6 6 0 6 6 0 0 0 6 3 0 6 3 3 6 0 0 0 3 0 3 3 0 6 3 3 0 0 0 0 0 3 0 0 3 6 0 6 0 0 6 3 3 6 0 0 3 6 3 3 3 6 6 3 6 3 0 0 3 0 0 3 3 0 3 6 0 0 3 3 0 6 0 3 3 0 6 0 3 3 3 0 6 6 6 0 0 6 3 3 6 3 6 6 3 6 3 6 0 6 6 0 0 6 3 3 6 6 0 0 3 3 6 3 0 0 0 0 3 0 6 6 3 0 6 6 6 0 6 6 0 3 6 0 3 6 0 6 3 6 0 6 0 0 3 3 6 6 3 6 6 6 3 3 3 0 3 3 0 6 0 0 6 6 0 0 3 3 3 6 6 3 6 3 6 0 0 0 0 3 0 0 3 0 0 6 6 0 0 6 6 0 3 3 0 6 3 3 0 6 0 0 0 0 0 3 6 6 6 6 6 6 3 6 3 3 6 6 3 6 6 3 6 3 3 0 0 0 6 0 3 6 0 0 0 0 6 6 3 3 0 0 3 0 3 3 6 3 0 0 0 3 6 3 6 6 3 6 3 3 6 6 6 3 6 6 6 6 3 3 0 3 0 6 6 3 6 3 6 6 6 6 0 3 0 3 generates a code of length 86 over Z9 who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+344x^162+120x^165+282x^168+568x^171+294x^174+258x^177+186x^180+18x^183+66x^189+36x^198+12x^207+2x^225 The gray image is a code over GF(3) with n=258, k=7 and d=162. This code was found by Heurico 1.16 in 80 seconds.