The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 X 1 1 1 0 1 1 1 X 1 1 1 1 1 2X 1 2X 0 1 1 1 2X 1 1 2X 1 1 1 X 1 1 2X 1 0 2X 0 1 0 1 2X 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 X+1 1 X+2 2X X 0 X+1 0 2X+1 1 2X X 2 X+2 2X+2 2X 0 1 1 X+1 2X+2 2X 1 X+1 2X 0 1 2X+1 X 1 2X+2 1 1 2 1 0 1 X+1 2X 1 1 X 2X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 1 1 2 X+2 2X+1 1 2X+2 2 2 1 X+1 X+2 2X+2 2X+1 X+1 1 2 2 2 1 2 2X+1 1 X+2 X+2 1 1 2X+1 2 2X+1 1 2 1 1 X+2 1 2X+1 2X+1 1 2X+1 2 0 2X 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 X+1 2X 1 2 2X 2 1 X X+1 X+1 2X+2 X+1 2X 2 X X+1 X+2 1 2X 2X+1 2X+1 X+1 0 X+2 1 2X X+2 1 2X+2 2 2 2X+2 X+2 1 X 2X+1 X 2X 2X X 2 1 1 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 X+2 X+2 1 X+1 X+2 2 2X 2X+2 2X+1 2X+1 2 0 1 0 0 2X+2 X+2 X+1 2X+2 1 2X X 0 2X 2X+1 1 2X+1 1 X 1 2X+1 X+2 X 2X+1 X 0 2X+1 1 X+2 2 2X 2 0 generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+718x^117+2922x^120+4890x^123+7080x^126+8358x^129+9924x^132+9764x^135+7446x^138+4854x^141+2312x^144+660x^147+96x^150+24x^153 The gray image is a linear code over GF(3) with n=198, k=10 and d=117. This code was found by Heurico 1.16 in 83.1 seconds.