The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 2X 1 1 1 0 1 2X^2+X 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 2X 1 1 1 2X^2+X 1 1 1 2X 1 1 1 X^2+X 1 1 0 1 X^2 2X^2+X X^2+X 1 X^2 1 1 1 1 1 X^2 X^2+X 1 1 1 X^2+2X 1 1 1 X^2+X 1 X^2 1 1 2X^2+2X 1 1 1 1 X^2+2X X^2 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 1 2X^2+1 2X^2+2X+1 2 1 2X^2+1 1 2X^2+X+2 0 1 2X^2+X 2X+2 2X X+1 0 1 2X^2+X 2 2X^2+X+2 2X^2+1 2X+2 2X 1 X+1 0 2X^2+2X+1 1 2 2X 2X^2+1 1 X+1 X^2+2 2X^2+X+2 1 2X^2+X X^2+X+2 1 X^2+2X 1 1 1 X^2+X+2 1 2X+2 X^2 X^2+X X^2+2X+2 0 1 1 2X^2+X 2X^2 2X^2+2X 1 X^2+2 2X^2+2 X^2+2X+2 1 X^2+1 1 2X+2 2X^2+2X+1 1 X^2+2X+2 2 X^2+2X+1 2 1 X X^2 0 0 2X^2 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 2X^2 2X^2 0 0 0 0 X^2 2X^2 2X^2 X^2 2X^2 0 0 2X^2 2X^2 X^2 0 2X^2 0 2X^2 0 2X^2 2X^2 0 2X^2 0 X^2 0 X^2 X^2 2X^2 X^2 0 2X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 2X^2 0 0 0 X^2 2X^2 0 X^2 X^2 X^2 0 2X^2 2X^2 2X^2 0 2X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 0 0 2X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 0 0 0 2X^2 0 0 0 2X^2 X^2 0 X^2 2X^2 X^2 X^2 X^2 0 2X^2 0 0 2X^2 0 0 2X^2 0 2X^2 X^2 2X^2 2X^2 2X^2 0 0 X^2 0 2X^2 2X^2 X^2 2X^2 0 X^2 X^2 X^2 X^2 0 2X^2 X^2 2X^2 0 2X^2 0 2X^2 0 0 2X^2 X^2 X^2 0 0 0 0 2X^2 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 0 0 X^2 X^2 2X^2 X^2 0 X^2 0 2X^2 2X^2 2X^2 0 0 X^2 0 0 2X^2 0 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 0 X^2 X^2 2X^2 X^2 0 2X^2 0 0 X^2 X^2 2X^2 0 X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 0 X^2 0 2X^2 0 0 2X^2 2X^2 0 X^2 2X^2 X^2 X^2 0 X^2 0 X^2 0 generates a code of length 81 over Z3[X]/(X^3) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+386x^153+18x^154+540x^155+1520x^156+144x^157+1440x^158+2046x^159+432x^160+1800x^161+2910x^162+576x^163+2268x^164+2550x^165+288x^166+1044x^167+1122x^168+198x^170+250x^171+66x^174+54x^177+20x^180+4x^183+2x^189+2x^198+2x^207 The gray image is a linear code over GF(3) with n=729, k=9 and d=459. This code was found by Heurico 1.16 in 1.66 seconds.