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 X 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 1 1 X 1 1 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X X 2X 2X X 2X 2X 2X 2X X 2X 2X X 2X X X X 0 2X 0 X 0 X 2X X 2X X 0 X 2X 2X X X 0 X 0 X X 0 X X 2X 0 X 2X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X 2X 2X 2X 2X X 0 X 0 2X 2X 2X 2X X 0 X 0 X 2X 0 2X 0 0 X 2X 2X X X 2X 2X 2X 2X X 0 0 X 2X 0 2X 0 X 2X 2X 0 2X 0 2X X 0 X 2X X X 0 0 0 X 0 0 0 0 0 0 0 0 X X 2X X 0 X 2X X 0 2X X X 2X 2X X 0 X 2X 2X 0 2X 0 2X X X 0 X 0 2X X 0 2X X 0 0 X 2X 2X 0 2X 0 X 2X 2X 2X X 2X 0 2X 2X 0 2X 2X X 2X 0 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 2X 2X X 0 X 2X 2X 2X 0 0 2X 2X 0 X X 2X 0 0 0 X 2X 0 2X 2X 2X 2X X 0 2X X 2X 0 2X 0 0 X 0 2X 0 0 2X X 0 X X X 0 2X X X 2X 0 2X 2X X 0 0 0 0 0 X 0 0 X 2X 0 2X 2X X X X 2X X X 0 X X 2X 0 0 0 2X X 2X 2X X 0 X X 2X 0 2X X 2X X 0 X X X 0 X 0 X 0 X 0 0 2X 2X 0 0 2X X X 0 0 0 2X 0 0 0 0 X 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X X 2X 2X X 2X 0 0 0 X X 2X X X 2X 0 2X 2X 0 0 X 2X 2X X 2X X X X 0 0 X 2X 2X 2X 0 0 X 2X 0 0 X 0 0 X X X 2X X 2X X 2X 2X 0 0 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X X 0 X X 0 0 X X 2X 2X 0 X X X 2X X 2X 2X 0 X X 2X X 2X 0 X 2X 0 X X 2X 2X X 0 0 2X 2X 0 0 2X 2X X 0 0 X X 2X X 2X X 2X X X X 0 X generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+124x^114+284x^117+364x^120+18x^122+446x^123+108x^125+534x^126+432x^128+534x^129+1584x^131+502x^132+3564x^134+654x^135+4104x^137+518x^138+2448x^140+566x^141+864x^143+558x^144+470x^147+364x^150+264x^153+196x^156+98x^159+50x^162+22x^165+6x^168+4x^171+2x^183 The gray image is a linear code over GF(3) with n=204, k=9 and d=114. This code was found by Heurico 1.16 in 12.5 seconds.