The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 0 1 1 1 2X 1 0 2X 1 1 1 1 0 1 1 1 1 1 2X 1 1 1 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 X+1 2 0 2X+1 2 2X+1 X+2 1 X+2 X+1 2X+2 1 X+1 1 1 2X+2 2X+2 X+2 X+2 1 2X X+1 X+1 X+1 X+2 1 X+2 2X+1 0 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X X X 0 X 2X 2X 2X 0 X 0 X X 0 X X 0 X X X X 2X 2X 0 X 0 0 2X 2X 2X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 2X X 0 X 0 X 2X 2X X X X 2X 0 X 0 0 2X X 2X 2X 0 X 0 0 X 2X 0 0 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 X X 2X 0 0 0 2X X 2X 2X 2X 0 0 0 X 0 2X 2X 2X 0 X X 0 X 0 2X generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+350x^87+484x^90+294x^93+516x^96+352x^99+102x^102+62x^105+12x^108+6x^114+6x^117+2x^123 The gray image is a linear code over GF(3) with n=141, k=7 and d=87. This code was found by Heurico 1.16 in 3.49 seconds.