The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X X X 1 X X 1 1 1 1 X 1 X X 1 1 X 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X X X X X 2X X X 2X 2X X X 2X X X 2X X 0 X X 0 X 2X X X 2X 0 0 0 X X 2X X 0 2X 2X X 2X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X 2X 2X X X X 2X 0 X 2X 2X 2X 2X 0 0 X 0 0 0 2X 2X X X 0 X 0 X 2X 2X 2X X 2X 2X 0 X 2X X 2X X 2X 0 X 0 2X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X X 2X 0 X 2X X 0 0 2X 2X 2X X X 0 2X 0 X 2X X X 0 X 2X X 0 0 X 0 0 0 2X 0 X 2X X X 0 X 2X 0 0 X 2X 2X X 2X 2X 0 0 0 0 0 X 0 0 0 0 0 X X 2X 2X X X 2X 2X 2X X 2X X X 2X X 2X 0 0 2X 2X 0 2X 2X 2X 2X 0 X 0 X 0 2X 2X X 2X X 2X X X 2X 2X X 0 0 0 X X 2X 0 2X 2X 0 X 2X X 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 2X 2X X 0 2X X 2X 2X X X X 2X X 2X X X 0 X 2X X 2X 2X 0 2X 2X X 0 0 2X X X 0 X X X 2X 0 X X 2X X 0 2X X X X 2X X 0 0 0 0 0 0 0 X 0 0 2X 2X X X 0 X X X 0 0 2X 2X X 0 2X 2X 2X 0 X X 0 2X X X 2X 0 X 0 2X X 2X 0 0 2X 0 0 2X 0 X X X 0 0 0 X 2X X X 2X 2X 0 2X 0 2X 2X 0 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 0 2X 2X 2X 0 0 X 0 0 0 2X X X X X X X X 2X 2X 0 2X 0 X 0 0 X 0 2X 0 X X 0 X 0 X X 2X 2X 2X 0 0 0 X X X X 2X 2X 0 0 0 0 0 0 0 0 0 X X 0 X 0 X 2X 0 2X 2X 0 X 2X 2X X 2X 2X 0 0 2X X 2X 0 0 X X 0 0 X 0 2X 2X 0 0 X 2X 2X 0 0 2X 2X X X 2X 0 X 0 X 0 X X 0 2X 2X 2X 0 0 generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 102. Homogenous weight enumerator: w(x)=1x^0+84x^102+240x^105+430x^108+688x^111+954x^114+1444x^117+2482x^120+4852x^123+8176x^126+11326x^129+11244x^132+8356x^135+4106x^138+1810x^141+1156x^144+758x^147+428x^150+248x^153+146x^156+72x^159+30x^162+12x^165+2x^168+4x^171 The gray image is a linear code over GF(3) with n=195, k=10 and d=102. This code was found by Heurico 1.16 in 95.5 seconds.