The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 0 1 1 1 1 X 1 1 0 1 1 1 1 1 X 1 1 1 2X 2X 0 1 2X 1 1 1 2X 0 0 1 1 2X 1 1 1 1 1 2X 1 1 1 1 1 1 1 0 1 1 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 2X 1 1 0 1 0 X+2 2X+2 2X+1 1 2 2X X+1 X+2 1 X+1 2X+2 1 X+2 2X+1 2X+2 X+1 2X X X+1 2X+1 X+1 1 1 1 2 1 0 X 1 1 1 0 X+1 2X 1 X 2X+2 X+1 0 X 1 2 0 X+2 1 1 2X X+2 0 2X+1 X+1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 2X+1 1 2X+1 X+1 X+2 1 2X+2 2X 2X X 2X+1 2X+2 2X+2 0 X+2 2X+1 X+2 1 2X+2 X+2 X+1 2X+1 2X 1 X X X+1 X+2 0 2X X+1 X+1 X+2 0 X+1 2X+1 X 1 2 X+1 0 X+1 2X+2 2X+2 X 2X 2X 0 0 X+2 X X 2X+1 X+2 1 2X 2X 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 2X 0 0 0 X X X X 0 0 0 X 0 2X 2X 2X 0 2X 2X X X X 0 X 2X 0 0 X 2X X X 0 0 0 X X X X 0 2X 0 0 2X X X 2X 2X 0 2X 0 0 2X 0 X 2X 2X 0 generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+386x^153+600x^156+420x^159+270x^162+132x^165+102x^168+138x^171+90x^174+36x^177+4x^180+6x^183+2x^189 The gray image is a linear code over GF(3) with n=240, k=7 and d=153. This code was found by Heurico 1.13 in 0.14 seconds.