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 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 X X 1 X 1 1 X 1 1 1 1 1 1 1 1 X 1 1 X 1 1 X 0 1 0 1 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 2X 2X 2X 2X 2X X 2X X 2X 2X X X 2X X X X 0 2X 2X 0 X 0 2X X X 0 X X 2X X 2X 0 0 2X 2X 0 0 0 X 2X 0 X X 0 0 X X 0 X 2X 2X 2X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 0 0 2X X X 2X 0 2X X 2X X 0 0 0 X 2X X 2X 0 0 0 X 2X X 2X X X X 2X X 2X 0 0 2X 2X 0 0 X 0 2X 2X 0 X X 2X 0 X 2X 0 X X 2X 0 X 0 2X 0 2X 0 X 2X 0 0 0 X 0 0 0 0 0 0 0 0 X X 0 0 X X 2X 0 2X 2X 2X 2X 0 X 0 X X 0 X X 2X 0 X X 2X 0 X 2X 0 X 2X X 2X 0 0 0 0 X 2X 2X 2X X 0 X 0 X 0 0 2X 0 X 2X X X X 0 0 X X 2X 2X 0 X X X X 0 2X 0 2X 0 0 0 0 X 0 0 0 0 X 2X 2X 2X X 0 0 0 X X 2X 0 2X 0 2X 2X 2X 0 2X 2X 0 0 2X 2X X X X 2X X 0 0 X 0 X X X 0 X X X 2X 0 X 2X 2X X 2X 0 0 X X 0 X 0 0 2X 0 0 0 0 X 0 2X 2X 0 2X 0 0 X X X X X 0 0 0 0 0 X 0 0 X 2X 0 2X 0 X 0 2X X 2X X X 0 0 2X X 0 2X X 2X X 0 2X X X X 2X 0 2X 2X 2X 2X 0 2X 0 X 0 X 2X 2X 0 X 0 X 2X 2X 0 2X X 0 0 2X 0 0 0 0 2X 2X 0 2X X 0 2X X 0 X X 0 2X X 2X X 2X X 0 0 0 0 0 0 X 0 2X 2X X 0 2X X 2X 0 2X 0 X 2X 2X 0 0 2X 0 0 2X 2X 0 2X X 2X 0 0 X X 0 2X 2X 2X 0 X X X 0 2X 2X 0 0 X X X 0 2X 0 0 2X 0 0 X X X X 0 2X 2X 2X 0 2X X X 2X 2X X 2X 2X X 2X 2X X X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X 0 0 X 0 X 0 2X 2X X 0 0 2X 2X X X 0 0 0 2X X 2X 2X 2X 2X 2X 2X 0 X 2X X 0 0 X 0 X 2X 2X 2X 2X X X 2X X X 2X 0 X X 0 2X X 2X X 2X X 2X 0 X 2X 0 0 0 0 2X 2X generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+142x^141+304x^144+386x^147+60x^149+408x^150+186x^152+512x^153+606x^155+506x^156+1476x^158+436x^159+2562x^161+546x^162+3126x^164+538x^165+2610x^167+488x^168+1788x^170+504x^171+642x^173+430x^174+66x^176+444x^177+368x^180+182x^183+158x^186+92x^189+62x^192+30x^195+20x^198+2x^207+2x^210 The gray image is a linear code over GF(3) with n=246, k=9 and d=141. This code was found by Heurico 1.16 in 32.1 seconds.