The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2X^2+2X X^2 2X^2 1 2X^2 2X 1 1 1 1 1 1 2X^2+2X 1 1 1 2X 1 2X^2+2X 2X 1 1 1 1 1 1 X^2+X 1 1 X^2 1 1 X 1 1 1 2X^2+X 2X 1 1 1 1 X 1 1 0 1 1 2X^2+2X X^2 1 1 1 1 1 1 1 2X^2+X 1 1 1 2X^2+X 1 1 1 1 1 X^2 1 0 1 0 0 X^2 2X^2+2X+1 2X^2+2 2 2X^2+2X+2 X^2+2X+1 X+1 1 1 1 2X^2+2X+1 1 2X^2+2X X^2+X+1 2 2X^2+1 2X^2+2 X^2 2X^2+2X 1 2X^2+X X^2+2X+2 2X^2+1 1 2X^2+2X+2 1 1 2X^2+X+2 2X^2+X+2 2X^2+2X 1 2X 2X^2+X+1 1 X^2+X X^2+2X+1 X^2+X X+1 2X 0 X+2 X^2+X 2 1 1 X^2+1 2X^2+2X X^2+2X+1 2X^2+X 1 X^2+1 2X+2 1 X^2+X 2X 1 1 2X+1 2X^2+X X^2+X+1 2X^2+2 X^2+X+1 2X+2 X^2+2X+2 1 2X X^2+X+2 0 1 X^2+2X+1 2 2X X^2+X+1 2X^2 1 2X^2+X 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 2X+1 2X^2+2X+2 2X^2+2X+1 X^2 2X^2+X 1 2X^2+2 X^2+2 2X^2+X+1 1 2X^2+X+2 2X^2+X X^2+2 X+1 X^2+2X 2X+1 2X^2+X+1 2X^2+X 2X+2 X^2 X^2+2X+1 X^2+2 2X+1 X^2+X+2 X^2+X+2 X^2+X 2 2X X 1 2X^2+2X X+1 1 2X^2+X+1 2X^2+2X+2 2X+2 2X^2+X+1 X 2X^2+2X+2 X^2+2X+2 2X^2+2X X^2 2X^2+2X X^2+X+1 X 2 X+1 2X^2+2X+1 1 X^2+2X 2X^2+2X+1 X^2 1 2X^2+X X^2+X+2 X^2+1 2X^2+2X+2 X^2+1 X^2+2 X^2 2X^2 X^2 X^2+2X+2 2X^2+X+2 X^2+2X X^2+2X+1 2X^2+1 X^2+1 X^2+2X+1 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 2X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 2X^2 0 X^2 X^2 X^2 0 X^2 2X^2 X^2 0 0 X^2 0 X^2 0 2X^2 0 2X^2 2X^2 X^2 X^2 2X^2 0 X^2 0 0 0 X^2 0 2X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 0 X^2 0 0 2X^2 0 X^2 X^2 0 2X^2 0 X^2 X^2 0 2X^2 2X^2 0 X^2 2X^2 X^2 0 generates a code of length 80 over Z3[X]/(X^3) who´s minimum homogenous weight is 151. Homogenous weight enumerator: w(x)=1x^0+414x^151+594x^152+1888x^153+3222x^154+2442x^155+4624x^156+5442x^157+3576x^158+5096x^159+5844x^160+3660x^161+5702x^162+4590x^163+2394x^164+3194x^165+3084x^166+1182x^167+980x^168+630x^169+210x^170+104x^171+54x^172+24x^173+24x^174+36x^175+12x^176+2x^177+6x^178+12x^180+6x^184 The gray image is a linear code over GF(3) with n=720, k=10 and d=453. This code was found by Heurico 1.16 in 9.72 seconds.