The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 1 1 X 1 0 1 2X 1 1 1 1 1 1 1 1 2X 1 1 X 0 1 0 0 X 2X+1 2X+1 2X+2 2 1 2 1 0 X X+1 X+1 1 1 1 2X 1 X+2 2X+2 2X X+2 2 2 X 2X 1 0 2X+2 2X 0 0 1 1 2X+2 2X X+2 2X+1 2 X+1 0 0 1 2X+2 2X 1 2X+2 2 2X+1 2 X+2 X+1 X+2 X X X+2 2X+2 2X+1 2X+2 X+2 X+1 0 1 0 0 0 2X 2X 0 2X X X 2X 2X 2X X X X 0 0 X X 0 X 0 2X 2X X 0 0 2X X 0 X 2X X generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+336x^60+652x^63+424x^66+336x^69+328x^72+96x^75+12x^78+2x^93 The gray image is a linear code over GF(3) with n=99, k=7 and d=60. This code was found by Heurico 1.13 in 0.0191 seconds.