The generator matrix 1 0 0 1 1 1 1 1 1 1 2X 1 1 1 0 1 X 1 2X 1 2X 1 1 1 X 2X 1 2X 0 2X 1 1 1 0 1 0 2X 1 2X+1 2 0 X 2X+2 1 X+1 2X+1 2 1 0 1 X 1 1 1 2X X+2 X+1 0 2X 2X+1 X 1 1 X+1 X+2 2X 0 0 1 2X+1 1 2X 2X+2 2 X+1 1 2 1 2X+2 X X+1 X+2 2 2X+1 2X+2 2X+1 X 1 2 X+2 1 1 2X+1 1 2X+2 0 2 X+2 2X+2 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+362x^63+192x^66+18x^69+110x^72+42x^75+4x^81 The gray image is a linear code over GF(3) with n=99, k=6 and d=63. As d=63 is an upper bound for linear (99,6,3)-codes, this code is optimal over Z3[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 1.52 seconds.