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 1 0 1 1 2X 1 1 1 0 1 X 1 1 0 1 1 1 1 2X 1 1 1 1 1 0 X 1 1 0 2X 1 1 1 1 1 1 1 1 1 1 1 1 2X X 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+2 X+1 2 X+2 X+1 X+2 0 2 1 X+1 2X+2 1 2X+1 2X X+1 1 X+1 1 X X 1 X+2 2X+1 X+1 2X+2 1 X+1 X+1 2X+1 2 2X+1 1 1 1 2 1 1 0 0 2X+2 2X+2 X+1 2 X 2X X X 0 1 1 1 2X+2 2X 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X 0 2X X 2X 2X X X 2X X 0 X 2X X 0 0 X 2X X 2X 2X 2X 0 0 0 X 2X X X 0 X X 0 X X X X X 0 X 0 X X 2X X 2X X 0 0 2X 0 0 0 0 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 0 2X X 0 2X 0 X 0 2X X 0 0 X 0 X 2X X X 0 X 0 2X X X 0 2X 0 2X 2X X X X 2X X 0 X X X 2X 0 2X 0 0 2X 0 X 0 0 X 2X 2X 2X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 X X 2X 2X 0 2X 2X 0 2X 0 X 2X 2X 0 0 0 X X X 0 X X X 2X X X X 2X 2X X X 2X 0 2X 2X X 0 0 0 X X X 2X 2X 2X 2X 0 X 2X 2X generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+504x^135+396x^138+324x^141+386x^144+246x^147+144x^150+124x^153+42x^156+14x^162+4x^171+2x^180 The gray image is a linear code over GF(3) with n=213, k=7 and d=135. This code was found by Heurico 1.16 in 35 seconds.