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 1 X^2+2X 1 1 1 1 1 1 1 1 1 X 1 2X^2+2X 1 2X^2 1 1 1 X^2 X^2+2X 1 1 1 X^2+2X 1 1 1 1 1 2X^2+2X 1 2X^2 1 0 1 1 1 1 X 1 2X^2+X 0 2X^2+2X 1 1 1 1 X^2+2X 1 1 2X^2+X 1 X^2 1 1 X^2+2X 1 1 1 1 1 1 1 1 X^2+X 1 2X^2+2X 1 1 1 1 X^2+2X X 1 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 0 1 X+2 2X^2+1 X^2+2 X+1 2X 2X^2+X+2 2X^2+2X+1 X^2+X X^2+2X 1 X^2+X 1 X+1 1 X^2+2 2X^2 X^2+2X+1 1 1 2X^2+2X+1 X^2+X+2 2X^2+X+1 1 X^2+2 2X^2+X X^2+2X+2 2X^2+2X+1 2X 1 2X^2+X 1 X^2+X+1 1 2X^2 2X 2X^2+1 X^2+2X+2 1 2 1 1 1 X^2+X+1 2 2X^2+X+2 1 1 2X^2+X+1 2 1 X^2+2X+1 1 X^2+X+2 X^2+X+2 1 X^2+2X+2 X^2+X+2 2X^2+X+2 1 X^2+X+2 X 0 X+1 1 X^2+2 1 2 X^2+1 2X^2+2X+2 X^2+1 1 X^2+2X 2X 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 X^2 2X X^2+X X^2 2X 0 2X^2 2X X^2+2X 2X^2+X 2X^2+X 2X^2+X X^2+2X 2X^2+X 0 X X^2+X 2X^2+2X X X^2 X^2+2X 2X 0 2X^2+2X X^2 0 2X^2+2X 2X^2 0 2X 2X^2 X 2X^2+2X X^2+2X X^2 X^2+X X 0 X^2+X 2X^2+2X X^2+2X 2X^2 2X^2+X X^2+X X^2+X X^2 2X^2 X X 2X^2 2X X^2+2X X X^2+X X 2X^2+2X X^2+X 2X^2 X^2+2X 2X 2X 2X^2+X 2X^2 X X^2 0 2X 0 2X^2+2X X^2 2X X^2+2X 2X^2+X 2X^2+2X 2X^2 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 X^2 0 X^2 2X^2 X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 X^2 0 0 2X^2 2X^2 0 2X^2 X^2 0 2X^2 X^2 X^2 0 2X^2 2X^2 0 0 0 X^2 2X^2 X^2 0 2X^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 0 X^2 2X^2 0 X^2 2X^2 X^2 X^2 0 X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 0 0 X^2 2X^2 2X^2 X^2 0 generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 188. Homogenous weight enumerator: w(x)=1x^0+378x^188+650x^189+828x^190+1452x^191+1296x^192+1584x^193+1962x^194+1338x^195+1656x^196+1884x^197+936x^198+1422x^199+1260x^200+800x^201+684x^202+636x^203+450x^204+126x^205+114x^206+58x^207+18x^208+24x^209+14x^210+24x^212+24x^213+6x^215+18x^218+14x^219+6x^221+6x^222+12x^224+2x^234 The gray image is a linear code over GF(3) with n=882, k=9 and d=564. This code was found by Heurico 1.16 in 2.42 seconds.