The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 0 1 X 1 X 1 1 2X 1 1 1 1 2X X 1 1 1 1 1 1 1 1 0 X 1 1 1 1 0 1 1 1 X 1 2X 2X 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 X 1 2X 2X 1 1 0 1 0 0 0 0 2X 2X 2X 2X 2X 2X 1 2X+1 1 2X+1 1 2X+1 1 1 2X+1 1 X+2 2X+2 1 1 X+1 2 X 2X+2 X+2 1 2 X 1 1 2 2X+2 2X+1 0 1 2X+2 0 X+1 X 0 1 1 1 2 2X X+2 X+2 1 X 1 X+1 X+1 2 X 2X+2 2 1 2X 2 X X+1 0 2X+1 2 2X+2 0 0 1 1 2X+2 1 1 2X+2 2X 0 0 1 0 0 1 2X+2 2X+1 1 2 0 2X+1 2X+1 2X+1 X 1 2X 1 X+2 2 2X 0 2X+2 1 2 X+1 2X X+1 2 0 2X+2 2 X 2X 2 X X+2 X 2X+2 1 X+2 0 2X+1 X+1 1 2X 1 X 2X 2X X+2 X+1 2 2 X+1 X X+2 2 1 1 2X 2X X+1 2X X+2 2X+1 X 1 2X+2 2X+2 2 1 2X X 0 X+2 X 2X+1 X+2 2X+2 0 0 0 1 1 X+1 2X+1 2 2 0 X+2 0 2X+2 2X 2X+1 1 2 2X+2 2X+1 X+2 X+1 X 2 X+1 2X+1 1 2X+2 0 2X+2 2X+1 X X X 2X+1 0 2X+1 2X 2 X+2 1 2X+2 0 X 2X+1 2X+2 0 1 2X X+1 2X+2 2X 2 2X 2X 1 1 X X+2 X+1 X+2 2X+1 X+1 2X+1 X 1 0 2X X X+2 X+1 2X+2 2X 2X+2 2X+2 X 2 2 0 0 2X+1 0 0 0 0 2X 2X 2X X X 2X X 0 X 0 2X 2X X X 2X 2X 2X 0 0 0 X 0 0 2X 0 X X 2X X X 2X 0 2X 0 X 0 0 2X 2X X 0 X X 2X 0 X 0 2X 0 0 X X X 2X X 2X 0 2X 0 2X X 2X X 2X 2X 0 2X 2X 2X 2X X 2X 2X 2X X X generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+596x^147+1830x^150+2666x^153+2892x^156+2866x^159+2550x^162+2268x^165+1758x^168+1284x^171+712x^174+186x^177+58x^180+12x^183+2x^186+2x^189 The gray image is a linear code over GF(3) with n=240, k=9 and d=147. This code was found by Heurico 1.16 in 7.74 seconds.