The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 1 1 1 0 1 1 1 1 2X^2+X 1 2X 1 2X^2+X 1 1 0 2X X^2 1 1 1 1 1 1 2X^2+X 1 1 1 0 1 1 1 1 1 1 1 1 2X X^2 X^2+X X^2+2X 1 1 1 1 1 1 1 1 2X^2+X 1 2X^2+2X 1 1 1 0 1 1 X 1 1 1 2X X^2+2X 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X^2+1 2X 2X+2 1 2 2X^2+2X+1 0 X+1 2X+2 1 2X^2+X+2 2X^2+X 2X^2+1 2X 1 2X+2 1 2 1 X+1 2X^2+X 1 1 1 2X 0 2X^2+X+2 2X^2+2X+1 2X 2X^2+1 1 2 X^2+X+1 2X^2+2X+1 1 X+1 2X^2+1 2X+2 X^2 X^2+2 0 2X^2+X X^2 1 1 1 1 X^2+2 X^2 X^2+X X^2+X+1 X^2+2X+2 X X^2+1 2X^2+2X+2 1 2X^2+X 1 2X^2+1 X^2+X+1 2X^2+X+1 1 X^2+1 X^2+2X+1 1 X^2+2X+2 2X+2 2X^2+X+2 1 1 2 0 0 2X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 0 0 2X^2 2X^2 0 X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 0 2X^2 X^2 0 X^2 2X^2 0 0 0 X^2 0 X^2 0 0 2X^2 X^2 X^2 2X^2 0 0 0 X^2 2X^2 2X^2 X^2 0 0 X^2 2X^2 2X^2 0 2X^2 2X^2 2X^2 X^2 0 0 2X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 2X^2 0 2X^2 0 2X^2 2X^2 2X^2 X^2 X^2 0 X^2 0 X^2 2X^2 0 2X^2 X^2 0 2X^2 0 0 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 0 X^2 0 2X^2 X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 X^2 X^2 0 2X^2 2X^2 0 2X^2 X^2 0 2X^2 X^2 X^2 X^2 0 0 2X^2 2X^2 0 2X^2 0 0 X^2 0 0 0 2X^2 X^2 0 X^2 0 2X^2 X^2 0 0 0 0 2X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 0 2X^2 2X^2 0 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 0 0 0 0 X^2 2X^2 2X^2 X^2 0 2X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 X^2 0 0 2X^2 X^2 0 2X^2 X^2 X^2 X^2 2X^2 X^2 0 0 X^2 generates a code of length 79 over Z3[X]/(X^3) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+574x^150+648x^151+162x^152+2072x^153+1146x^154+108x^155+2750x^156+1464x^157+4018x^159+1836x^160+108x^161+2862x^162+1014x^163+54x^164+450x^165+174x^166+84x^168+18x^169+54x^170+36x^171+18x^172+16x^174+2x^177+4x^180+2x^183+2x^186+2x^189+4x^192 The gray image is a linear code over GF(3) with n=711, k=9 and d=450. This code was found by Heurico 1.16 in 5.02 seconds.