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 1 1 1 2X 1 1 2X 2X 1 1 1 1 2X 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 X 0 1 1 0 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+2 2X+1 X+1 2 1 1 0 2X 1 1 2 X+1 2 X 1 1 2 1 2X 2X+2 2X+1 X+1 0 X+2 1 2X 2X+2 2X+1 2X+2 2X+1 X X+1 2X+1 X+1 1 2X+2 0 X+2 2X 1 2 2 1 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 2 2X X+2 2 2X+2 2 1 2X+2 2X+1 X 2X X+2 1 X+2 X 2X+1 0 X+2 2 2 X 2X 2X+1 2 2X+1 X 2X 1 2 1 2X+2 2X 2X 2X+2 2X+1 X+1 2X 2 1 2 2X+1 2X+2 1 X 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 2X 2X+1 X+2 2X+1 1 2 2X+1 2X+1 2X X 0 0 2X 2X+1 2 X+1 2 X+1 X+2 2X+1 X X X+2 0 X X+2 X+1 2X+1 2X+2 0 X 2 X+1 1 X+2 1 2X+1 2X+2 X+2 X+2 X+1 X 1 2 2X 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 1 2X+2 X+1 2 2X+1 X 1 1 0 2X+1 X+1 2X X 0 0 X+1 2 2X 2 2X 1 2X 2X+1 2 1 X+1 2X+1 X+1 0 2X+2 2X+2 X+1 0 2 2 1 2 1 X+1 2X 2X 0 2 2X+1 X+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 0 X 2X X 2X 0 2X 0 0 X 2X X X 0 X 2X X X 2X X 0 X 2X 2X X 0 X 0 0 0 X 0 0 2X 0 0 X 2X 0 X 0 X 2X generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+170x^123+330x^124+564x^125+924x^126+1314x^127+1572x^128+2048x^129+2982x^130+3012x^131+3958x^132+4974x^133+4422x^134+5704x^135+7044x^136+6258x^137+8026x^138+9630x^139+8250x^140+9340x^141+11226x^142+8988x^143+9928x^144+10746x^145+7746x^146+8580x^147+8598x^148+5898x^149+5784x^150+5166x^151+3606x^152+3068x^153+2586x^154+1536x^155+1120x^156+768x^157+498x^158+300x^159+228x^160+132x^161+72x^162+18x^163+6x^164+8x^165+12x^168+2x^177+2x^180+2x^189 The gray image is a linear code over GF(3) with n=213, k=11 and d=123. This code was found by Heurico 1.16 in 532 seconds.