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 X 1 X 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 X 0 0 X X X 0 2X 2X X 0 X 0 0 2X X 0 X 0 X X 2X X 2X 0 2X 0 0 X 2X 0 0 2X 0 X X 0 X 0 0 X 0 X 0 0 X 0 X 0 0 X 0 X 0 0 X 0 X 0 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 2X 0 X 2X X X 2X 2X 0 X X 0 2X 2X X 2X 2X 2X 2X 0 2X X 0 2X 0 X 0 0 X 2X X 2X X 2X 2X 2X X 2X 0 2X 2X 2X X X 0 2X 0 2X X 0 2X X 2X 0 X 2X X 2X 0 X 2X 0 X 0 2X 0 X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 2X 0 2X 0 X 2X 2X 0 X 2X X 2X 2X 0 2X 2X X X 2X X 0 0 2X 2X 2X 2X 0 2X 0 X 0 X X 2X X 2X 2X 0 X X X 0 0 X 0 2X 0 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X X 2X 2X X 2X 0 2X X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 2X X 2X 2X X 2X X 2X 2X 0 0 0 X 0 X 0 0 0 X 2X 0 2X 0 2X 2X X X X 2X 0 0 X X 2X 0 0 0 0 0 X 2X 2X 0 2X 0 0 2X 2X 2X 0 2X 2X 2X 0 X 2X 2X X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 2X 2X 2X X 0 0 2X 2X 2X X X X 0 X X X X 0 X 2X X 0 0 0 0 2X X X 0 0 X 2X 0 0 2X 0 X 2X X 0 2X 2X 0 0 0 X X 2X X 0 2X 2X 2X X 0 X 2X 0 2X X 2X 2X 2X X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X X 0 2X 2X 0 2X X 0 2X 0 X 2X 2X 2X X 2X 0 0 X 2X X 2X 0 X 0 2X 2X 0 0 0 0 2X X X X 0 2X 0 0 X 2X X 0 0 0 0 2X X 0 2X 2X 2X 0 0 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 2X 2X 0 X 2X 0 X X 0 X 0 0 2X X X 2X 2X 0 X X 0 0 X 0 2X 0 2X 2X 0 2X 0 2X 0 X 0 X X X X 0 0 X 0 0 X 0 2X X 0 2X 2X X 2X X 2X 0 2X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X 0 X 0 X X 0 2X X 2X 2X 2X 2X 2X X 2X X 0 0 0 2X 0 0 X 0 0 X 0 2X 2X 0 X 2X 2X 2X X 2X X X 2X 0 X 0 X X 2X 2X 2X X X 0 2X X 2X 0 X 0 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+8x^105+2x^108+20x^114+24x^117+44x^120+80x^123+126x^126+182x^129+214x^132+238x^135+368x^138+394x^141+438x^144+464x^147+526x^150+498x^153+546x^156+484x^159+462x^162+388x^165+350x^168+240x^171+164x^174+138x^177+98x^180+92x^183+94x^186+104x^189+1642x^192+9008x^195+17820x^198+12098x^201+506x^204+662x^207+704x^210+908x^213+978x^216+1032x^219+1044x^222+1064x^225+1044x^228+958x^231+704x^234+658x^237+464x^240+336x^243+266x^246+170x^249+94x^252+64x^255+18x^258+4x^261+8x^264+6x^267+2x^288 The gray image is a linear code over GF(3) with n=297, k=10 and d=105. This code was found by Heurico 1.16 in 99.3 seconds.