The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 1 1 1 0 1 2X 1 2X^2+X 1 1 2X 1 0 1 1 1 1 1 1 2X^2+X 1 X^2+X 1 1 0 1 1 1 1 1 1 1 1 1 2X 1 1 X^2 1 2X^2+X X^2+2X 1 X^2+2X 1 1 1 X^2+2X 1 1 1 1 2X X^2 1 1 0 1 2X^2 1 2X^2+2X 0 1 1 2X^2 1 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 2X^2+1 1 2X^2+X 2 2X^2+2X+1 0 2X^2+X+2 1 2X^2+1 1 2X+2 1 2X X+1 1 2X^2+2X+1 1 X+1 2 0 2X^2+1 2X^2+X+2 2X+2 1 2X 1 2X^2+X X+1 1 X^2 X^2+X 2X+2 2X^2+X+2 2X 2 X^2+X+1 X^2+X+2 X^2+2X+2 1 X^2+2X+1 2X^2+1 1 X^2+1 1 1 X^2+2 1 X^2+X+2 X^2+2 2X^2+X 1 1 X^2+1 X+1 2X^2+X+1 1 1 X+2 X 1 X^2+2X 1 0 1 1 X^2+X+1 2X^2+2X+1 X X^2 2X^2+X 0 0 2X^2 0 0 0 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 0 X^2 X^2 2X^2 2X^2 X^2 0 X^2 0 0 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 0 X^2 0 2X^2 0 0 X^2 2X^2 0 2X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 0 0 X^2 X^2 2X^2 X^2 X^2 2X^2 0 X^2 X^2 X^2 2X^2 2X^2 0 X^2 0 2X^2 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 0 X^2 0 2X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 0 X^2 X^2 X^2 2X^2 0 X^2 0 0 0 X^2 X^2 0 0 2X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 X^2 2X^2 0 0 0 X^2 2X^2 X^2 0 0 0 2X^2 X^2 2X^2 2X^2 0 2X^2 2X^2 0 0 2X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 X^2 2X^2 X^2 0 X^2 2X^2 2X^2 0 0 0 0 2X^2 X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 0 2X^2 X^2 0 X^2 2X^2 X^2 0 X^2 0 2X^2 X^2 2X^2 X^2 2X^2 2X^2 0 X^2 X^2 0 2X^2 2X^2 0 X^2 X^2 0 0 2X^2 0 X^2 X^2 0 2X^2 0 X^2 2X^2 2X^2 0 0 0 X^2 2X^2 0 0 0 X^2 2X^2 2X^2 0 2X^2 2X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 2X^2 0 X^2 2X^2 X^2 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+132x^151+588x^152+428x^153+666x^154+1482x^155+1050x^156+1086x^157+1488x^158+1750x^159+1500x^160+2058x^161+1858x^162+1380x^163+2010x^164+922x^165+462x^166+516x^167+44x^168+42x^169+72x^170+6x^171+24x^172+36x^173+36x^175+12x^176+6x^177+18x^178+2x^180+4x^183+4x^192 The gray image is a linear code over GF(3) with n=720, k=9 and d=453. This code was found by Heurico 1.16 in 63.4 seconds.