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 X 1 1 X X 1 1 1 1 1 X X X 1 X 1 1 1 1 X 1 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 2X 2X X 2X 2X X X X 2X 0 X 2X X 0 X 0 X X X 2X X X X X 0 X 2X X 2X X X 2X 0 2X 0 0 2X 2X 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 X 2X X 2X 2X X 2X 2X X X 0 0 X 2X X 0 2X 0 2X 0 0 X 2X 2X X 0 0 X 0 X 0 2X X 2X 0 0 X 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 2X 2X 0 2X 2X 2X X X 0 0 0 0 X X X X 2X 0 X 0 2X 0 0 2X 0 X 2X 2X 0 2X 2X 2X 2X 2X 2X X 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 0 2X 0 X X 0 0 2X X 0 0 X X X X 0 X 0 X 0 0 X X 0 X 0 0 X 2X 0 0 2X 0 X X 2X 0 X 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 0 X X X 0 2X X 2X 0 0 2X 2X 2X X X 2X 0 2X X 2X 0 0 0 0 0 0 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 0 0 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 0 0 2X X X 2X X 2X 2X 2X X 0 2X 0 2X 0 X 2X 0 X X 2X 0 0 X X X X X 2X 0 X 2X 2X 2X X 0 2X X 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 X 2X 2X X 0 X 2X X X 0 0 0 2X 2X X 2X X X 0 X 0 0 X X X 2X 2X 0 0 0 X 2X 2X 0 X X 0 2X generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 111. Homogenous weight enumerator: w(x)=1x^0+66x^111+228x^114+332x^117+6x^119+430x^120+108x^122+492x^123+480x^125+508x^126+1266x^128+566x^129+2682x^131+598x^132+3720x^134+588x^135+2940x^137+570x^138+1584x^140+528x^141+336x^143+486x^144+416x^147+308x^150+196x^153+156x^156+58x^159+22x^162+8x^165+2x^168+2x^174 The gray image is a linear code over GF(3) with n=201, k=9 and d=111. This code was found by Heurico 1.16 in 12.2 seconds.