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 X 1 1 1 1 1 X X 1 1 1 1 1 1 1 X 1 X X 1 1 1 1 1 1 X X X 1 1 1 X X 1 1 1 X 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 2X 2X 2X 2X 0 X X 0 X 0 2X 0 X 2X 0 X 0 0 X 0 X X X 2X 2X 2X X 2X 2X 0 2X X X 0 2X 0 2X 0 X X 0 X 2X 2X 0 X 0 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 X 0 0 0 0 0 0 2X 0 X 2X X 2X 2X 0 2X X 2X 0 2X 0 2X 0 X 2X X 0 X 0 0 X X X 0 2X X X 0 2X X X X X X 2X X 0 0 0 0 0 X 0 0 2X 2X 2X 0 X 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 X 0 0 0 0 0 2X 0 2X 0 X 2X X 2X 2X X X 0 X X 0 0 2X 0 2X X 2X X 2X 0 X X 0 0 X 2X X 0 2X 0 2X 2X X 2X 2X 0 X 0 X 2X 2X X 2X 2X 0 X 2X X 2X 2X 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 X 0 0 0 0 2X X 2X 2X X 0 X 0 2X 2X 2X 2X 2X 2X 0 2X X 2X 0 X 0 X X 2X 0 2X 2X X 2X 0 2X 0 0 0 X X 2X 2X 0 0 0 0 0 0 X 2X X 0 2X 2X 0 0 X 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 X 0 0 0 2X 2X 2X X 0 2X 0 0 X X 2X 0 2X X X 2X X 0 2X X 2X 0 0 2X X 2X 2X 0 2X 0 0 2X 0 2X 2X X X X X X X 2X X 0 2X 2X 0 2X 2X X 2X 2X X 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 X 0 0 2X 2X X 0 2X 2X 2X 2X 0 0 0 0 X X X 2X 0 X 0 2X 2X 0 X 0 2X X X 0 2X 0 X 2X 0 0 X 0 X 2X 0 X X 2X 2X X 2X 0 0 X 0 0 2X X 2X 0 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 X 0 2X 2X 0 X 2X X 0 X 0 X 0 2X X 0 X X X X 2X 2X 0 X X 0 0 0 0 2X 0 0 0 2X X X 0 2X 2X 0 2X 0 X 0 X 2X 2X 2X 2X 2X 2X X 2X X 0 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 X 2X X 0 X 0 0 2X 2X 2X X 2X 2X 0 X 0 0 2X 2X X X 0 2X 2X X X 0 0 2X 0 2X 2X X 2X 0 X 2X 2X X 2X X X 2X 2X 2X 0 2X X X 0 X X 2X X X 0 X 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 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+58x^105+148x^108+232x^111+304x^114+376x^117+470x^120+480x^123+620x^126+680x^129+668x^132+586x^135+590x^138+418x^141+374x^144+238x^147+144x^150+24x^152+76x^153+144x^155+58x^156+546x^158+30x^159+1824x^161+70x^162+4488x^164+194x^165+7656x^167+316x^168+9240x^170+338x^171+8088x^173+636x^174+5244x^176+646x^177+1872x^179+888x^180+240x^182+1028x^183+1166x^186+1332x^189+1376x^192+1250x^195+1188x^198+938x^201+650x^204+468x^207+322x^210+178x^213+86x^216+38x^219+10x^222+10x^225+4x^228 The gray image is a linear code over GF(3) with n=255, k=10 and d=105. This code was found by Heurico 1.16 in 99.7 seconds.