The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 0 1 1 1 1 1 2X 1 X 1 X 1 1 1 0 2X 1 1 2X 1 1 2X 0 1 1 X 1 1 1 0 1 1 1 1 1 X 1 1 X X 1 2X 1 1 1 1 0 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 X+1 1 0 2 2X+1 X+1 2 1 2X+2 1 2 1 0 2X+2 X 1 1 2X+2 2X+2 1 X 2X+1 1 1 2X X+1 1 2X 2X+2 X 1 X+2 X 2X+2 2 2X+1 1 1 X 1 1 X+1 1 1 2 2X+2 X 1 2X+1 2X+1 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 0 X X 2X 0 X X X 0 2X 2X 2X X X X 0 0 0 0 0 2X 0 X 2X 0 2X X 0 X 2X 2X 2X 2X X 0 2X X X X 2X X 2X 2X X 0 0 0 0 2X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 2X 2X 2X 2X X X X 2X 0 X 0 X 2X 2X X X 2X 0 0 0 0 0 X 2X X X X 0 X X 2X 0 0 2X X X X X 0 0 0 0 0 X 0 0 X X 2X 2X 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 X X 2X 0 X 0 2X 2X X X X 2X X 0 X X 2X X 2X X X 2X 2X X 2X X 2X 0 X 0 X 2X X X X X 0 2X 2X X X 0 0 X X 2X 2X 2X X 0 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 X X 0 0 2X 0 X 2X 2X 2X 2X 0 X 0 0 0 X 0 X 2X 2X 2X X 0 0 X X X 2X 0 X X X X X 2X 2X X X X 2X X X X X X 0 X 0 generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+256x^126+616x^129+896x^132+950x^135+1148x^138+1108x^141+814x^144+492x^147+158x^150+50x^153+18x^156+14x^159+24x^162+8x^165+2x^171+4x^174+2x^177 The gray image is a linear code over GF(3) with n=207, k=8 and d=126. This code was found by Heurico 1.16 in 8.8 seconds.