The generator matrix 1 0 1 1 1 1 1 1 0 1 2X^2 1 1 1 1 2X 1 2X^2+X 1 1 1 2X^2+X 1 X^2+2X 1 1 1 1 2X^2+2X 1 1 X 1 1 1 1 1 1 1 0 2X 1 1 1 1 1 X^2+2X 1 1 X^2 1 1 1 1 X^2+X 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X^2 1 1 1 X 0 1 1 2 2X^2+X 2X^2+X+2 2X^2+2X+1 2X 1 2X^2+X+1 1 2X^2+2 2X+2 X+1 2X^2 1 2X+2 1 1 X^2+2X 2X+1 1 2X^2+2X+2 1 0 X+2 2X^2+1 2X^2+X+2 1 2X^2+X 2X^2+2X+1 1 X^2 X+1 X^2+2X X^2+2 0 1 X^2+X 1 1 2X^2+X+1 X^2+X+2 2X^2+X+2 0 X+1 1 X+1 X^2+2 1 2X^2+2X+1 2X^2+X 2X 2X^2+2X+1 1 X^2+1 1 1 X X^2+2X 2X^2+2X+2 2X^2+X X^2+2 X^2+1 2X+1 2X^2+2X+2 2X^2+X+1 2X^2+2 2X^2+2 2X^2+1 2X^2+X+2 X+2 1 2X^2+2X X+2 2X+1 2X^2+2X+2 X^2+X+2 2 1 X+2 X^2+2X 2X^2+2X+2 2X^2 0 0 2X 0 2X^2 2X^2 X^2 0 X^2+2X 2X^2+X 2X^2+X 2X^2+X 2X^2+2X X^2+2X X^2+X X^2 0 0 X^2+X 2X^2+2X X^2+X 2X 2X^2+X 2X X^2 X^2+X X^2 2X^2+2X X^2+X X^2+2X 2X 2X^2+X X 2X^2 2X^2+X 2X X^2+2X X^2+X 2X^2+X X^2+2X X^2+2X X 2X 2X X^2+2X X^2+2X X X^2 X^2+X 2X^2+X 2X^2 2X^2 2X^2+2X X^2+2X 0 X^2 2X X^2 X^2+X 2X^2 X^2+X 2X^2+X 0 X 2X^2+X 2X^2+2X 2X 2X X^2 X^2+2X 2X^2+X X^2 X^2+2X 2X^2+X 2X^2+X 2X^2 2X 0 2X^2 X^2 X^2+2X 2X^2 2X^2+X X 0 0 0 X^2 X^2 0 2X^2 2X^2 2X^2 X^2 X^2 0 0 2X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 2X^2 0 X^2 X^2 2X^2 2X^2 0 0 2X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 0 2X^2 2X^2 0 X^2 2X^2 X^2 X^2 X^2 X^2 0 0 2X^2 0 X^2 X^2 X^2 2X^2 0 2X^2 0 0 0 0 0 X^2 X^2 0 2X^2 2X^2 2X^2 0 X^2 0 X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 0 X^2 X^2 X^2 generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 160. Homogenous weight enumerator: w(x)=1x^0+246x^160+654x^161+616x^162+1380x^163+1644x^164+1278x^165+1986x^166+1644x^167+1394x^168+1620x^169+1932x^170+1188x^171+1434x^172+1002x^173+536x^174+432x^175+306x^176+82x^177+108x^178+78x^179+2x^180+24x^181+6x^182+30x^184+6x^185+24x^187+2x^189+6x^190+12x^191+2x^192+6x^194+2x^201 The gray image is a linear code over GF(3) with n=756, k=9 and d=480. This code was found by Heurico 1.16 in 1.96 seconds.