The generator matrix 1 0 0 0 1 1 1 1 X 1 1 1 0 X 1 1 2X 0 1 1 2X X 1 1 1 1 2X 2X 1 0 2X 1 1 1 1 0 1 0 0 0 X 1 X+1 1 2X 2 2X+2 1 1 2X+1 2X 1 1 2 X+2 0 X 2 2X 1 X 1 1 X+2 1 1 X+1 1 2X+1 2 0 0 1 0 0 2X+1 1 2X+2 2X+1 2X+1 X X+2 0 2X+2 X+2 1 X+2 X 2 0 1 1 2X 2 2X+1 2 2X+1 0 1 1 X 2 X+1 X+2 2X+1 0 0 0 1 1 2X+1 X X+1 X+1 2X+2 X+2 2X+1 X+2 X+1 2X+2 0 0 1 2X X+1 X+2 X+1 2X 1 2X+1 2X+2 2X 2X+2 2X+1 2X+2 X 0 2 2X+1 X+2 0 0 0 0 2X 0 0 0 0 2X 2X 2X 2X X X 2X 2X 2X X 2X 2X 2X 0 0 2X 2X X 0 0 0 X X 0 0 2X generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+762x^60+2080x^63+3278x^66+3990x^69+4698x^72+3294x^75+1344x^78+212x^81+12x^84+6x^87+2x^90+4x^93 The gray image is a linear code over GF(3) with n=105, k=9 and d=60. This code was found by Heurico 1.16 in 14 seconds.