The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 1 0 1 1 1 1 1 1 2X^2+X X^2 1 1 X^2+X 1 X 1 1 X^2 1 0 1 2X^2+2X+1 2 X+1 2X^2+X 2X^2+X+2 1 2X 2X^2+1 2X+2 1 2X^2+2X+1 0 2 1 2X^2+X 2X X+1 2X^2+1 2X^2+X+2 X^2+2X+2 1 1 X^2 X^2+2X+1 1 X^2+X 2X^2+2X X^2+X+1 X^2+2X 1 X^2+1 0 0 2X^2 0 X^2 2X^2 X^2 X^2 0 2X^2 0 0 X^2 2X^2 X^2 X^2 0 2X^2 2X^2 X^2 0 X^2 0 X^2 X^2 0 2X^2 X^2 2X^2 0 X^2 2X^2 0 generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+572x^63+198x^64+556x^66+252x^67+556x^69+36x^70+12x^72+2x^75+2x^78 The gray image is a linear code over GF(3) with n=297, k=7 and d=189. This code was found by Heurico 1.16 in 55 seconds.