The generator matrix 1 0 1 1 1 1 1 X+6 1 1 2X 1 1 1 0 1 X+6 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 2X 1 1 1 X+6 1 1 1 2X 1 1 1 X+3 1 1 0 1 3 X+6 X+3 1 3 1 1 1 1 1 3 X+3 1 1 1 2X+3 1 1 1 X+3 1 3 1 1 2X+6 1 1 1 1 2X+3 3 1 0 1 2X+7 8 X+6 X+1 X+5 1 2X+8 2X 1 7 2X+7 8 1 7 1 X+5 0 1 X+6 2X+8 2X X+1 0 1 X+6 8 X+5 7 2X+8 2X 1 X+1 0 2X+7 1 8 2X 7 1 X+1 2 X+5 1 X+6 X+2 1 2X+3 1 1 1 X+2 1 2X+8 3 X+3 2X+2 0 1 1 X+6 6 2X+6 1 2 5 2X+2 1 4 1 2X+8 2X+7 1 2X+2 8 2X+4 8 1 X 3 0 0 6 0 0 0 6 6 3 3 6 6 3 3 3 0 3 6 6 0 0 0 0 3 6 6 3 6 0 0 6 6 3 0 6 0 6 0 6 6 0 6 0 3 0 3 3 6 3 0 6 3 3 3 0 3 3 3 3 3 6 0 0 0 3 6 0 3 3 3 0 6 6 6 0 6 0 3 3 0 0 0 0 0 3 0 3 6 3 3 6 0 3 6 3 0 0 6 6 6 3 3 3 6 3 6 6 0 0 0 6 0 0 0 6 3 0 3 6 3 3 3 0 6 0 0 6 0 0 6 0 6 3 6 6 6 0 0 3 0 6 6 3 6 0 3 3 3 3 0 6 3 6 0 6 0 6 0 0 6 3 3 0 0 0 0 6 6 3 0 3 6 6 3 3 6 3 3 0 0 3 3 6 3 0 3 0 6 6 6 0 0 3 0 0 6 0 6 3 3 3 6 0 6 0 0 3 3 6 3 0 6 0 0 3 3 6 0 3 6 6 6 3 3 6 0 3 0 6 0 0 6 6 0 3 6 3 3 0 3 0 3 0 generates a code of length 81 over Z9[X]/(X^2+6,3X) 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 code over GF(3) with n=729, k=9 and d=459. This code was found by Heurico 1.16 in 1.67 seconds.