The generator matrix 1 0 1 1 1 1 1 0 1 X 1 1 1 0 1 0 X 1 1 1 2X X 1 1 1 1 1 1 2X 1 1 1 1 X 0 1 1 2 0 2X+1 2 1 2 1 0 2X+1 0 1 2X+1 1 1 X X X+1 1 1 X+1 1 2X+1 0 2X X 1 2 X+1 X+2 X+2 0 0 0 2X 0 0 2X 0 X X 2X 2X 2X 2X 0 X X X 2X 0 2X X 2X X 0 0 0 X 0 0 X X 0 0 2X 0 0 0 X 0 2X 2X 2X 2X X 0 2X X 0 0 X X X 2X 2X 0 X X 2X 0 X 0 0 2X 2X 0 2X 0 2X 0 0 0 0 X X X 0 2X 0 2X 2X X 2X 2X X 2X 2X 2X 0 0 2X 0 X 0 X X 2X 0 0 X 2X X 2X generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+148x^60+420x^63+448x^66+504x^69+400x^72+216x^75+26x^78+14x^81+2x^84+6x^87+2x^90 The gray image is a linear code over GF(3) with n=102, k=7 and d=60. This code was found by Heurico 1.16 in 0.0499 seconds.