The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 2X 1 X 1 1 1 1 0 1 1 1 2X X 0 1 1 1 1 X 0 1 1 1 1 1 1 1 1 X 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 X 1 2X 1 X 1 1 1 1 2X 2X 0 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 1 2X+1 X 2X+1 2X 2X 1 2X+2 2 1 1 1 0 X 2 X+2 1 0 2X+2 2X 1 2X+1 2X+1 0 2X+2 X+1 1 2 1 2 1 2X 1 X 0 X+2 2X+1 2X+1 1 1 X 0 1 2X 1 X+2 1 0 X 2 1 1 1 2X 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 X+2 2X+2 X+2 2X 1 1 1 X X+2 2X X+2 X+1 2X 1 X+1 0 X+2 1 2 X+2 0 X+2 X+1 2X+1 0 2 2 0 2X+1 X+1 X+2 2 2X X+2 0 2X+1 X X+1 X X 2X X+1 0 2X+2 2X 2 2X 2X+2 X 0 X+2 X+1 X 1 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 2X X 0 2X 2X 2X X 0 X 2X 0 0 0 X 0 2X 2X 0 2X X X 0 X 0 2X X X 0 X X X X X 0 X X 2X 2X 2X 2X 0 2X 2X 0 0 X 0 X 0 X 0 X X 2X 0 2X 0 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 2X 0 2X 2X X 0 2X X 0 0 X 2X 0 X 0 2X 0 0 2X 2X X 2X X 0 2X X X X X 2X X X 0 X X X 2X X 2X X 2X 2X 2X 2X 2X X X 2X 2X 0 0 X 2X 0 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 0 X 2X X 2X 0 X X X 2X 0 X 2X 2X 0 0 0 2X 0 X 2X 2X 2X X X 0 0 0 0 2X 2X 0 2X 0 X 0 0 X X 2X 0 0 2X X 2X X X X 2X 2X X 2X X generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+400x^126+1186x^129+2146x^132+2574x^135+3026x^138+3020x^141+3120x^144+2152x^147+1214x^150+610x^153+154x^156+40x^159+16x^162+12x^165+6x^168+2x^171+4x^174 The gray image is a linear code over GF(3) with n=210, k=9 and d=126. This code was found by Heurico 1.16 in 6.91 seconds.