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 X X 1 1 1 1 1 1 X 1 X X X 1 1 X X 1 X X 1 X 1 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 0 X 0 0 0 0 0 0 0 X 0 0 X X X 0 2X 2X X 0 X X 0 2X 0 2X X 0 0 2X 0 X X 2X X X X X 2X 0 X X X X 2X 2X X X 0 0 X X 0 2X 0 0 X 2X 0 X 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 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 0 2X 0 2X 2X X X X 0 0 0 X 0 0 2X X 2X 0 X 2X 0 2X 2X 2X X 2X X 0 X 0 0 X X 0 X 0 0 2X X 2X 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 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 0 2X X X X 0 X 2X X 2X X X 0 0 2X 0 X 0 X 0 2X 2X X X 2X 0 2X 2X 0 2X X 2X 0 X X X X 0 0 X X 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 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 0 X 2X 0 X 0 X 0 0 X 2X 2X 2X 0 0 2X 2X 2X X X X X 2X 0 X 2X X 2X 0 X 0 0 X 0 2X 2X X 2X 0 2X X 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 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 X 0 X X X 2X 2X X 0 0 X X 0 X 2X 2X 0 2X 2X X 0 0 0 2X 2X X 0 X X 0 2X X X X 0 2X 2X 0 X X X 0 2X 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 0 0 0 0 0 0 0 X 0 0 2X 2X X 0 2X 2X 0 2X X 0 2X 0 2X X 0 X 2X X 2X 0 X 2X X 0 2X X 0 2X 0 X 0 2X 0 2X X X 0 X X 2X 2X X 2X 2X 0 X 0 2X 2X 0 0 0 X 0 0 X 0 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 0 0 X 0 2X 2X 0 X 2X 0 X X 0 X 0 0 X 2X 0 2X 0 2X 2X 0 X 0 X X 0 2X X 0 0 2X 0 2X X X 2X 0 X 2X X X 0 2X 2X X 2X 2X 2X 0 0 X X 0 2X X X 0 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 0 0 0 X 2X X 0 X 0 X X 0 2X X 2X 2X 0 2X 0 0 X X 2X X 0 0 2X X X 0 0 0 X X X X 2X X 0 0 0 2X X 0 0 0 X 2X X 2X 0 0 X 0 0 X 2X 0 2X X 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 generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+24x^105+96x^108+156x^111+240x^114+334x^117+430x^120+494x^123+524x^126+572x^129+726x^132+660x^135+588x^138+510x^141+398x^144+284x^147+232x^150+154x^153+70x^156+42x^159+20x^162+6x^163+6x^165+6x^166+132x^169+594x^172+1836x^175+4644x^178+38x^180+7218x^181+132x^183+9108x^184+216x^186+8946x^187+282x^189+4818x^190+414x^192+1686x^193+626x^195+372x^196+702x^198+872x^201+1202x^204+1338x^207+1302x^210+1358x^213+1252x^216+986x^219+830x^222+612x^225+418x^228+262x^231+130x^234+78x^237+40x^240+20x^243+10x^246+2x^249 The gray image is a linear code over GF(3) with n=276, k=10 and d=105. This code was found by Heurico 1.16 in 99.5 seconds.