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 1 X 1 1 1 1 1 1 1 1 1 X 1 X 1 1 X 1 1 X 1 1 1 1 1 1 1 X 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X X 2X 2X X 2X 2X 2X 2X X 2X 2X X 2X X X X 0 2X 0 X 0 X 2X X 2X X 0 X 2X X 0 X X 2X 0 0 0 X 0 0 X X X X 2X 2X 2X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X 2X 2X 2X 2X X 0 X 0 2X 2X 2X 2X X 0 X 0 X 2X 0 2X 0 0 X 2X 2X X X 2X 2X 2X 2X X 0 2X 0 2X X 0 2X 0 X X X 2X 2X 2X 2X 0 2X 2X X 2X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X 2X X 0 X 2X X 0 2X X X 2X 2X X 0 X 2X 2X 0 2X 0 2X X X 0 X 0 2X X 0 2X X 0 0 X 2X 0 2X X 2X 2X 2X X 2X 0 0 0 0 2X 0 2X 0 X 0 X X 0 2X 0 0 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 2X 2X X 0 X 2X 2X 2X 0 0 2X 2X 0 X X 2X 0 0 0 X 2X 0 2X 2X 2X 2X X 0 2X X 2X 0 2X 0 0 X X 2X X 0 2X X 2X X 2X 2X 0 0 0 X 0 X 2X 2X 2X X 0 0 2X X 0 0 0 0 0 X 0 0 X 2X 0 2X 2X X X X 2X X X 0 X X 2X 0 0 0 2X X 2X 2X X 0 X X 2X 0 2X X 2X X 0 X X X 0 X 0 X 0 X 0 2X 0 X 2X 2X 2X 0 2X 2X 2X 2X 2X X X 2X 0 X 0 2X 2X X 0 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X X 2X 2X X 2X 0 0 0 X X 2X X X 2X 0 2X 2X 0 0 X 2X 2X X 2X X X X 0 0 X 2X 2X 2X 0 0 0 X X 0 X X 2X X X 0 0 X X 2X 2X 2X X 2X X X 0 2X X 2X 0 0 0 0 0 0 0 X 2X 2X 2X 2X X 0 X X 0 0 X X 2X 2X 0 X X X 2X X 2X 2X 0 X X 2X X 2X 0 X 2X 0 X X 2X 2X X 0 0 2X 2X 2X X 0 X X X X X 2X 2X 2X 0 2X 2X 0 2X X 0 0 2X X X 2X X generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+90x^123+262x^126+382x^129+380x^132+24x^133+520x^135+228x^136+492x^138+936x^139+542x^141+2238x^142+554x^144+3504x^145+520x^147+3600x^148+630x^150+2112x^151+476x^153+480x^154+502x^156+386x^159+314x^162+238x^165+114x^168+104x^171+24x^174+16x^177+10x^180+2x^183+2x^195 The gray image is a linear code over GF(3) with n=219, k=9 and d=123. This code was found by Heurico 1.16 in 13.7 seconds.