The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 X 1 2X 1 1 1 1 1 1 X 0 X 1 0 1 1 2X 2X 1 1 1 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+2 2X 1 2X+1 1 X+1 0 2X X+1 1 X+2 1 1 2X 1 1 2 2X+2 1 1 2X+1 2X+1 1 0 0 1 2X+1 1 2X 2X+2 2 X 1 X+2 X+1 X X+2 X+2 1 2X+2 2X X 2 0 X+2 2X+1 1 X+1 X 2 0 2X+1 2 X 2X+2 2X+2 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+180x^62+96x^63+120x^65+76x^66+90x^68+42x^69+54x^71+14x^72+24x^74+8x^75+18x^77+6x^78 The gray image is a linear code over GF(3) with n=99, k=6 and d=62. This code was found by Heurico 1.13 in 0.00526 seconds.