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 X^2+X 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 2X 1 1 1 1 2X^2+X 1 1 1 1 1 1 1 1 2X^2 1 2X^2 1 1 2X^2+X 1 1 2X 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 X^2+2X 0 2X^2+2X X^2+X 1 1 X^2 1 1 2X^2 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 1 X+1 2 2X^2+2X 2X^2+X+1 2X^2+2X+1 0 1 X^2+X X^2+1 2X^2+X+1 2X^2+X+2 X 2X^2+X+2 X^2+2X+1 X^2+1 1 X+1 2 X^2+2 2X^2+2X+2 1 2X+1 0 2X^2 2X^2+1 2X^2+1 X^2+2 2X^2+2X+2 2X^2+X 1 X 1 X^2+2X X^2+2 1 2X^2+X 2X+1 1 1 2X X^2+X+1 X^2+2X+1 X^2 2X+2 2 X^2+X+2 X^2+1 2 X+1 1 2X^2+2X+2 2X^2+2X+2 2X^2+X 2X+1 X+2 X^2+2X X^2+2X+1 X^2+2X+1 X+1 X^2+2X+1 X^2+2X+1 2X 1 1 1 1 X X+1 1 2X+1 2X^2+X+1 X 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+X 0 2X^2+2X X X^2 X^2+2X 2X^2+2X 2X^2+X X^2+2X 2X 2X^2+X 2X X^2+X 2X^2 X^2+X 2X^2 X^2 2X 2X^2+X 2X^2+2X X^2 2X^2+2X 0 2X^2 X^2+2X X^2 X^2+X X^2 X 2X 0 X 2X X^2 2X^2+2X X X 2X 2X^2 2X^2 2X^2+2X X X^2+2X 2X^2+2X 2X X X 0 2X^2 X^2+2X X^2+X 2X^2+X 2X^2 0 X X X^2+2X X^2+2X 2X^2+X 2X^2 2X^2+X X^2+X X^2 X^2+X X^2+2X 2X^2+X X^2+X 0 0 2X X^2 2X 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 0 X^2 2X^2 X^2 X^2 0 0 2X^2 X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 0 X^2 X^2 X^2 2X^2 0 0 2X^2 2X^2 0 0 0 0 2X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 2X^2 2X^2 X^2 2X^2 2X^2 0 0 X^2 X^2 2X^2 X^2 0 0 X^2 2X^2 X^2 X^2 2X^2 2X^2 0 2X^2 2X^2 2X^2 0 0 X^2 2X^2 0 0 0 2X^2 0 generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 190. Homogenous weight enumerator: w(x)=1x^0+588x^190+558x^191+518x^192+1962x^193+1326x^194+900x^195+2262x^196+1542x^197+998x^198+2430x^199+1134x^200+588x^201+1890x^202+786x^203+550x^204+774x^205+408x^206+82x^207+222x^208+18x^209+18x^211+18x^212+2x^213+18x^214+12x^215+30x^217+18x^218+12x^221+6x^223+2x^225+6x^226+4x^228 The gray image is a linear code over GF(3) with n=891, k=9 and d=570. This code was found by Heurico 1.16 in 10 seconds.