The generator matrix 1 0 0 1 1 1 1 1 1 1 1 X 2X 1 1 2X 1 1 1 X 1 1 0 1 1 1 2X 1 0 1 2X 1 1 1 1 0 X 1 0 1 1 1 X 1 2X 0 1 1 1 1 1 0 1 1 2X 1 2X 2X 1 0 1 1 1 2X 0 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 1 X+2 1 0 2X+2 2X 1 X+1 X+2 0 X+1 2X 2X+1 1 X+1 1 2 1 2X 2 X+1 X 1 1 2 X 2X+2 X+2 2X 1 1 1 1 1 2X+2 0 1 2X+2 1 X X+2 2X 0 1 1 2X 1 0 2X X+2 0 1 0 0 1 1 2 2 X+2 1 2X 0 2X+1 2X+2 2X+1 1 2X+2 1 X 2X+1 X+1 2X 2X X 1 2X+2 2 2X 2X+2 X+2 X+2 2 1 0 2X 2X+1 X X+2 2X+2 1 1 X 2 1 X 0 2X 2X+1 2X+1 0 0 2X+1 1 2 X+1 0 1 2X+1 2X+1 X+2 X 0 2X+2 X+2 2X 1 X 0 0 0 2X 0 0 0 0 2X X X 0 2X 2X 2X X 2X 2X X X 0 0 2X 2X 2X 2X 2X X 2X X X 2X X X 2X 2X 0 0 2X 0 X 2X X 2X X 2X 2X 0 0 0 0 2X 2X 2X X X 2X X 0 0 0 2X X X 2X 0 0 0 0 X 0 2X 2X 2X 2X 0 0 2X X 2X 2X 2X 0 0 0 2X 0 X X 2X 0 X 2X 2X 0 2X X 2X X X 0 2X X 2X X 2X 2X 2X 0 X 0 X 2X 0 0 X 2X 0 2X X 0 0 0 2X 0 0 0 0 2X X 0 0 0 0 0 2X X 2X 2X 2X 0 0 X X 0 0 2X X 2X X 0 2X 0 2X X 2X X 0 2X X 2X 0 0 X X 0 X 0 2X X X 0 X 0 X 2X 0 2X X 0 2X 0 X X 0 X 0 2X 0 2X 2X 2X X 2X 0 generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+566x^117+1508x^120+2216x^123+2934x^126+3180x^129+3126x^132+2826x^135+2022x^138+878x^141+272x^144+82x^147+42x^150+16x^153+12x^156+2x^159 The gray image is a linear code over GF(3) with n=195, k=9 and d=117. This code was found by Heurico 1.16 in 85.3 seconds.