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 X 1 1 1 1 1 1 X 1 2X 1 1 1 1 1 1 1 1 0 1 1 X X 0 0 X 2X 0 1 1 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+2 X+1 2 X+2 X+2 X+1 0 2 1 2X+2 X+1 1 2X+1 2X 2X 1 1 2 0 X+2 1 X 2X 1 2X+1 1 X 2X 0 X 0 X 2X+1 X+1 1 1 1 1 1 1 1 1 1 1 X+2 0 X+1 2X+2 X 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X 0 2X X 2X X 2X X 2X X X 0 2X X 0 2X X 0 2X 0 0 X 0 X 2X 0 X 0 X 2X 2X X X X X 0 2X X 0 0 0 X 2X 2X 2X 2X 0 2X 2X X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 0 2X X 2X 0 0 X 0 X 2X 0 0 X 0 X X 2X 2X 0 X X 2X 0 0 2X X X 2X 0 0 X 2X 0 X 2X X 2X X 2X 0 2X 0 X 2X 0 X 0 2X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 X 2X X 2X 0 2X 0 2X 2X 0 X 0 2X 2X 0 X 2X 2X 2X X 0 0 X 0 2X X 2X 0 X 2X X X X X X 0 0 0 X X 2X 2X 2X 0 0 0 generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+252x^126+484x^129+448x^132+310x^135+278x^138+180x^141+138x^144+82x^147+6x^153+2x^159+4x^162+2x^165 The gray image is a linear code over GF(3) with n=201, k=7 and d=126. This code was found by Heurico 1.16 in 0.158 seconds.