The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 2X 1 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 X+1 0 2 2X+1 2X+1 X+2 X+1 0 2X 2X+2 X+2 1 1 X+1 1 1 2 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X X 0 X 2X X 2X 2X X 2X 0 0 0 2X 2X 0 2X 2X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X X 2X 0 0 X X X 2X 2X X 2X 0 2X 0 0 0 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 0 2X 2X X X 0 X X 0 0 0 2X 2X 2X 0 0 generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+284x^63+426x^66+420x^69+576x^72+348x^75+84x^78+38x^81+10x^90 The gray image is a linear code over GF(3) with n=105, k=7 and d=63. This code was found by Heurico 1.16 in 6.57 seconds.