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 X 1 X 1 X 1 1 1 1 X 1 X X 1 1 X X 1 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 2X X 2X X X 2X 0 X 0 0 X X 2X 2X X X 0 X 2X 2X 0 X 2X 2X X 0 X X 0 X 0 2X 0 2X 2X X 2X 0 0 2X X X 0 X X X 0 X 2X 2X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X 0 2X X 0 2X 0 2X 0 X 0 X 2X 2X 0 X 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 X 2X X 2X 0 2X 0 X 2X X X 0 0 X X 0 X 2X 2X X 2X 0 2X 0 2X 0 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 0 0 X 2X 2X 2X X X 2X 0 2X X 0 2X X 2X X 2X X 2X X 2X 0 X 2X 0 0 0 X 0 0 0 0 X 0 2X X X 0 0 X 2X 2X 0 2X 0 0 0 2X 0 2X X 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 2X X 0 X X 2X 2X X 2X 0 X 0 0 2X 0 X X X X 0 2X 0 0 0 2X X 2X X 0 X 0 X X 0 2X 0 0 2X 0 2X 2X 2X 2X 0 0 0 0 2X X 2X 0 X 2X 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 0 X X 2X X 0 0 2X X 2X X X 0 X 2X 2X X 0 0 X 2X 0 0 0 X X 0 0 2X 2X 0 X 2X X 0 2X 0 2X 0 0 X X 0 X 2X 2X 2X 2X 0 X X 0 0 2X X 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 0 0 0 X 2X 2X 0 0 2X 0 X X 0 X X X X 2X X 0 X X 2X 0 0 0 0 2X 2X X X 0 0 2X 2X 0 0 2X 2X 2X 0 2X X 0 X 0 X 2X 2X X X 2X 2X X 2X 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X 2X 2X 2X 0 2X 0 0 2X 2X 2X X 0 0 X 0 2X 2X 2X X X 2X 0 X 2X 2X 0 X 2X X X 0 2X X 2X X 2X X 2X 2X 2X 0 0 X X X 2X 2X X 2X 2X X 0 2X 2X generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+50x^114+172x^117+280x^120+450x^123+42x^124+454x^126+234x^127+502x^129+750x^130+532x^132+1734x^133+560x^135+2970x^136+570x^138+3558x^139+616x^141+2436x^142+556x^144+1170x^145+492x^147+228x^148+440x^150+350x^153+218x^156+158x^159+90x^162+42x^165+18x^168+4x^171+2x^174+4x^177 The gray image is a linear code over GF(3) with n=207, k=9 and d=114. This code was found by Heurico 1.16 in 12.6 seconds.