The generator matrix 1 0 0 0 0 1 1 1 0 X 0 2X 2X 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 X 1 1 1 1 0 0 1 1 1 1 1 1 X 1 1 X 1 X X 1 1 1 1 1 1 1 2X 1 1 1 1 0 X 1 X 1 1 1 1 0 1 0 1 0 0 0 0 0 0 2X X 1 1 1 2X+2 2X+1 2 1 X+1 2 1 2X X+2 2X+1 1 X 2 X 0 1 X+1 2X 1 0 1 1 X+2 2X+1 0 2X+2 2X+2 X+1 1 1 2X+2 1 X+1 1 1 2X+1 2X+2 2X 2X X+1 X+1 2 2X 2X+2 1 X X+1 0 1 2X+1 1 2X 2X+1 2X+2 0 1 0 0 0 1 0 0 0 1 2X+1 1 1 1 2 2X+2 X 1 2X+2 2X+1 0 X X+1 1 2X+1 2 1 X+1 X X+1 2X 0 1 0 2 2X+2 1 0 1 2X 2X+2 X+1 X 2 2 X+1 2X+2 X 2X 2X+1 2X+2 0 X+2 2 2X+1 2 2X+1 X+1 1 0 X+2 X+1 X+2 0 X+2 1 X+1 2 X+2 2X+2 2 0 X 0 0 0 1 0 1 1 2X+2 2X+1 1 X+1 0 X+1 X+2 2X 2 2 2X 1 X 2X+2 1 X+2 2 0 2X 0 X+2 0 2X+1 1 X X 0 X+2 0 2 2X+1 1 2X 0 X+2 2 2X+1 1 2X+2 0 2X+2 X 2X 2X+1 2 X+1 2X+1 2X 2 2X+1 X+1 X+1 X+2 1 1 0 2X X+2 X+2 2X 2 2X+2 0 0 0 0 0 1 2 X 2X+2 X+2 1 2X 2X+2 2X+1 1 X+1 2 X X+2 0 2X 0 X+2 2 X+1 2X+2 X 2X X X+2 2X+1 X+1 0 X+2 X 2X+1 2X+1 1 0 X X+1 2X+1 X+1 2 2X+2 X+1 2 2X+1 2X 0 2X+1 2X+2 2X+1 2X+2 2X+2 2X 2 0 1 1 2X+2 0 2X X+2 2X+2 X+1 X 2X+1 0 1 1 0 0 0 0 0 2X 0 2X 2X X 0 2X X X X 2X 0 2X 0 0 0 2X 2X X X X 2X X X 2X 0 2X 0 X 0 0 2X X 2X 2X 0 2X X 0 2X X 0 X 2X X X 0 2X 0 2X X 2X 0 X 0 2X X X 2X X 2X 2X X 0 2X generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 121. Homogenous weight enumerator: w(x)=1x^0+132x^121+270x^122+518x^123+1014x^124+1044x^125+1690x^126+2256x^127+2370x^128+3240x^129+4218x^130+3894x^131+5202x^132+6558x^133+5736x^134+7684x^135+8790x^136+7806x^137+8762x^138+10758x^139+8676x^140+9780x^141+10980x^142+9030x^143+8978x^144+9420x^145+6654x^146+7120x^147+6462x^148+4158x^149+3814x^150+3444x^151+1992x^152+1624x^153+1182x^154+666x^155+470x^156+354x^157+174x^158+120x^159+36x^160+18x^161+20x^162+6x^163+6x^165+6x^168+8x^171+4x^174+2x^180 The gray image is a linear code over GF(3) with n=210, k=11 and d=121. This code was found by Heurico 1.16 in 676 seconds.