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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+38x^105+182x^108+230x^111+316x^114+378x^117+400x^120+496x^123+658x^126+670x^129+642x^132+668x^135+516x^138+428x^141+372x^144+242x^147+158x^150+80x^153+44x^156+48x^158+28x^159+324x^161+10x^162+1134x^164+4x^165+3204x^167+64x^168+6804x^170+190x^171+9396x^173+294x^174+9000x^176+356x^177+6480x^179+636x^180+2592x^182+680x^183+384x^185+868x^186+1068x^189+1106x^192+1274x^195+1448x^198+1284x^201+1108x^204+1004x^207+646x^210+446x^213+306x^216+190x^219+90x^222+42x^225+12x^228+6x^231+4x^234 The gray image is a linear code over GF(3) with n=261, k=10 and d=105. This code was found by Heurico 1.16 in 100 seconds.