The generator matrix 1 0 0 0 0 1 1 1 0 X 1 1 1 1 2X 1 1 1 X 1 2X 1 1 1 2X 1 1 1 1 1 1 2X 2X 1 1 1 1 1 1 0 1 X 1 2X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 2X X 2X+1 X+2 2 X+2 1 X+1 X+2 1 1 X+1 1 X X 2X+2 1 1 1 1 2X 2 X+2 1 1 2 2 X 2 X X 1 2X 1 2X+2 X X+1 X+1 2X 1 2 2X 1 1 X+2 2 2X+2 X X+2 2X+1 1 X 1 2X+2 X 2X 1 1 X+1 1 X 0 0 1 0 0 0 1 2X+1 1 1 2X+2 X 0 X+2 2X+2 2X 1 X+1 0 2 2 2X+1 X 2X+1 X+2 2X+2 X 2X X+2 2X+2 X+1 1 2X+1 2 2X+2 2X+2 0 1 X 2X X+1 2X+1 X 2X X 2X+1 2X+2 X+1 1 0 0 2X 2X+1 X+1 X+2 2X+2 2X+1 X+2 1 1 2 X+1 2X 2X X 2X+1 2X+1 2X 2X 0 0 0 1 0 1 1 2X+2 2X+1 1 1 2X+1 X+2 0 2 X+2 X 2X+2 X+2 X 0 2 2X+2 X+2 X+2 X+2 2 X 2X+1 X+2 0 2X+2 2 1 2X 2 X+2 0 2X 1 1 X+1 X+1 1 X X+1 2X 2 2X+1 2X+2 2X+1 2X+2 1 2X+2 X+2 2X+2 0 2X+1 2 X 0 X+2 1 2X 1 X X 1 2X+1 0 0 0 0 1 2 X 2X+2 X+2 1 2X+1 X+1 X+2 1 X X+1 2X+2 X+2 1 X+2 2X+1 X+1 0 2X+1 X+2 X+1 2X 1 2 2X 1 2 1 X+2 0 0 1 2X+2 2X+1 1 X+1 X+2 X+2 2X+2 2X+2 2X+2 X+1 2X+2 2X+1 X+1 1 1 2X 2X+2 2 X+2 X X+2 0 2X+2 2 X 2X+1 2X+2 2X+2 X+2 2 X+2 0 0 0 0 0 0 2X 0 2X 2X X X X 2X X 0 X 2X 2X X 2X X X 0 2X X 0 2X 2X 0 X 0 0 2X 0 2X 2X 0 X 2X 0 0 X X 0 0 X 2X X 0 2X 0 0 2X X 0 X 0 0 X 2X 2X 0 X 0 X 0 2X X 2X generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 119. Homogenous weight enumerator: w(x)=1x^0+84x^119+330x^120+702x^121+606x^122+1266x^123+2232x^124+1374x^125+2440x^126+3858x^127+2658x^128+4242x^129+6900x^130+3828x^131+6916x^132+9888x^133+4938x^134+8644x^135+12408x^136+6642x^137+10020x^138+13458x^139+7008x^140+9806x^141+12570x^142+5406x^143+7280x^144+8748x^145+3678x^146+4868x^147+5298x^148+2082x^149+2206x^150+2016x^151+864x^152+778x^153+528x^154+168x^155+184x^156+102x^157+30x^158+54x^159+24x^160+6x^165+2x^168+4x^174+2x^183 The gray image is a linear code over GF(3) with n=207, k=11 and d=119. This code was found by Heurico 1.16 in 519 seconds.