The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2X^2+2X X^2 2X^2 0 X^2+X 1 1 1 1 1 1 1 1 X^2+2X 1 1 1 X^2+X 1 1 1 2X^2+2X X^2+X 1 X^2+2X 1 2X 1 1 1 1 1 1 1 1 1 X^2 2X 1 1 1 1 1 2X^2+X X 1 1 1 1 1 1 X^2 X^2+X X^2 1 1 1 1 2X 2X^2 1 1 2X^2+X 1 1 1 2X^2+X 2X 1 1 0 1 0 0 X^2 2X^2+2X+1 2X^2+2 2 2X^2+2X+2 X^2+2X+1 2X^2+1 1 1 1 1 1 2X^2+X+1 X+2 1 X X^2+1 2X^2+X+2 2X 2X^2+2 X^2 X 2X^2+2X+1 2X^2 X^2+X X+1 2 2X+2 1 1 X^2+1 1 0 1 X^2+2X+1 X^2+2X 2X^2+X X^2+X+2 X+2 2X^2+X X+1 2X^2+1 2X^2+2X+2 1 1 2X X^2+X+2 X^2+X+1 2X^2+2X X^2+X 1 1 X^2 2X^2+2X 2X^2+2 X+2 X^2+2X+2 2X+2 X^2+2X 1 2X^2 2X^2+2X 2X^2+X+2 2 X^2+2X+2 X^2+2X 1 X+1 X^2+1 1 2X^2+2X+1 X^2+2X 2X+2 1 1 X^2+2 2X^2 0 0 1 2X^2+2X+1 2X^2+2 X^2+2 2X^2+X+2 X^2 X^2+2X+1 X+1 0 X^2+2X+1 2X^2+2X+2 2X^2+2X+1 2 X^2 X+2 X^2+X 1 2X+1 2X^2+X X^2+X+1 2 2X+2 1 X^2 X^2+2X 2X+2 1 X^2+2 X+1 X^2+2X+2 1 X^2+2X+2 X^2+X+1 X^2+X 2X^2+2X X^2 2X^2+2X+2 2X+1 X+2 2X^2 X^2+X+2 2X^2+X 2X^2+2X 2X^2+X+1 X+1 2X^2+X+1 X^2+2X+2 2 X^2+2X X^2+X+1 X^2+2X X^2+X+1 2 2X^2+1 X^2+X+2 2X+2 X^2+2X+2 2X^2+2X+1 2X^2+X+2 X^2+1 1 X^2+2X 1 2X^2+1 2X^2+2X+2 2X^2+2X+1 X 1 X+1 2X^2 X^2+1 X^2+X+1 X^2+2X+1 2X+1 X^2 X^2+X 2X^2+1 X X 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 2X^2 0 0 X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 0 X^2 0 X^2 2X^2 2X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 2X^2 X^2 0 X^2 0 0 2X^2 2X^2 2X^2 X^2 2X^2 0 X^2 2X^2 0 0 0 0 X^2 X^2 0 X^2 2X^2 0 0 0 generates a code of length 81 over Z3[X]/(X^3) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+528x^153+738x^154+1824x^155+2524x^156+3060x^157+4488x^158+5174x^159+4218x^160+5412x^161+5098x^162+4284x^163+4536x^164+4560x^165+3054x^166+3492x^167+2584x^168+1266x^169+1026x^170+604x^171+330x^172+102x^173+26x^174+30x^175+12x^176+36x^177+6x^178+6x^179+6x^180+12x^181+12x^184 The gray image is a linear code over GF(3) with n=729, k=10 and d=459. This code was found by Heurico 1.16 in 9.5 seconds.