The generator matrix 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 1 1 X X 1 1 2X 1 0 1 0 1 1 2 0 2X+1 2 1 0 2X+1 X 2X+1 2 1 X+2 1 0 X X 2X 2X+1 X+1 2 2X+2 1 1 1 1 X+2 1 X+2 1 X 0 0 2X 0 X 2X X 0 2X X 2X 0 2X X 2X 2X 0 X X 0 X X 0 0 2X 0 2X 0 2X 2X X X 2X 0 0 0 X X 2X 2X X 0 0 X 2X X 0 2X X X 2X 0 2X X 2X 2X 0 X 2X 2X X 0 0 0 2X 2X 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+124x^63+144x^65+48x^66+144x^71+64x^72+18x^74+6x^75 The gray image is a linear code over GF(3) with n=99, k=6 and d=62. This code was found by Heurico 1.16 in 2.84 seconds.