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 1 1 1 1 1 1 2X^2 1 0 1 1 1 X 1 1 1 1 0 1 1 1 1 X 0 X 0 0 2X 2X^2+X 2X^2+2X X 2X 2X^2+X 2X^2 0 2X^2+X 2X^2+2X 2X^2 X^2+X 2X 2X 2X^2+X X^2 2X^2+2X 2X^2+2X 2X^2+X X^2+X X^2 0 X^2+2X X^2+X 2X 2X 2X^2+X 2X^2+2X 2X^2+X 2X^2+2X X^2+X X^2 X X^2 X^2 2X^2+2X 2X^2+2X X^2 2X^2+X 0 2X 2X 2X^2+X 0 X^2+2X 0 X X^2 2X 2X X 2X^2+X X 2X^2 2X^2 2X^2+2X 0 X^2 X^2 X 2X^2+X X X^2+X 0 2X^2+2X 0 X^2 X 2X X^2+X X X^2+2X X^2 X^2+X 2X 2X^2+X 0 0 X 2X 0 X^2+2X X^2+X X X^2+2X 2X^2+2X X 2X^2 X^2+X X^2+X X^2+2X X^2 X^2 2X^2+2X 2X^2+2X 2X^2+X 0 2X^2+X 2X^2+X 2X^2 2X^2+2X 0 2X X^2+X X^2+X 2X X 0 X^2 2X^2+X 2X^2+2X X 2X^2 0 2X 2X^2+2X 0 2X X^2+2X X^2+X 2X 2X X X^2+X X X X^2 2X^2+2X 2X^2 0 2X^2+2X X^2+X X^2+2X 2X^2+2X 2X X^2+X X^2+X 2X X X^2+X X X^2 2X^2 2X^2 X^2 2X^2+X 0 2X^2+X X^2+2X X 2X^2+2X X X^2 X^2 0 0 0 0 0 X^2 0 0 2X^2 0 0 X^2 2X^2 X^2 2X^2 X^2 0 X^2 0 2X^2 0 2X^2 X^2 0 0 2X^2 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 0 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 0 2X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 0 X^2 X^2 0 2X^2 0 2X^2 2X^2 2X^2 2X^2 0 0 0 0 X^2 2X^2 0 X^2 2X^2 0 2X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 0 2X^2 0 X^2 X^2 X^2 2X^2 X^2 0 2X^2 X^2 X^2 X^2 2X^2 0 0 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 0 X^2 2X^2 0 2X^2 X^2 X^2 0 2X^2 0 X^2 2X^2 0 2X^2 2X^2 2X^2 0 2X^2 generates a code of length 80 over Z3[X]/(X^3) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+594x^150+1052x^153+108x^154+1622x^156+648x^157+1458x^158+2958x^159+2754x^160+2916x^161+2734x^162+864x^163+746x^165+506x^168+360x^171+224x^174+98x^177+36x^180+2x^186+2x^225 The gray image is a linear code over GF(3) with n=720, k=9 and d=450. This code was found by Heurico 1.16 in 4.26 seconds.