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 1 2X 1 1 1 0 1 1 1 1 X 1 2X 1 2X X 1 1 2X X 0 1 0 2X 0 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2X+1 1 2 2X+1 0 2 2X+1 0 1 X+2 2 1 1 X 2X+1 2X+2 2X 1 2X+2 1 2X 1 1 X+1 X+2 1 1 1 X 1 1 1 2X+2 2X 2 X 0 1 0 2X+2 X+1 2X+1 2 1 X 0 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X 0 X X 0 X 2X 2X 2X 2X 2X 0 0 X 0 0 0 X X X 2X X 2X 2X X 0 0 2X X 2X 2X X 2X 2X 0 X 2X 2X 2X 0 0 X 2X 0 0 X X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 X 2X X 2X 2X X X 2X 0 0 X X X 2X 2X X 0 0 0 0 X 0 X X 0 0 0 2X 0 2X X X 2X X 0 2X X 2X 2X 2X 0 0 X 0 X X 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 0 2X 2X 2X 2X X X 2X X 2X 2X X 2X X 0 X 2X 2X X 0 0 0 X 0 2X X X 2X 0 0 0 2X 2X X 0 2X X 2X 0 2X 0 2X 0 2X X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 2X 0 0 X X 2X 0 0 2X 2X 0 2X 0 0 X X 2X 2X 0 2X 2X X 2X 0 0 0 X 0 0 2X 2X X X 0 0 2X X 2X X 2X X X 2X 2X X 2X 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+74x^117+210x^119+172x^120+432x^122+310x^123+618x^125+338x^126+744x^128+306x^129+822x^131+328x^132+738x^134+292x^135+558x^137+164x^138+204x^140+78x^141+48x^143+38x^144+36x^147+16x^150+20x^153+4x^156+4x^159+2x^162+2x^165+2x^168 The gray image is a linear code over GF(3) with n=195, k=8 and d=117. This code was found by Heurico 1.16 in 0.761 seconds.