The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 X 1 1 1 0 1 1 1 1 1 0 1 1 X 1 1 2X 1 1 0 1 1 1 1 2X 1 1 1 1 1 X 1 0 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 0 1 1 0 0 1 2X X 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 X+2 1 1 X 2 2X+1 1 2 2X+1 0 1 2X+1 2 0 X+1 2X+2 1 0 2X+1 1 2 2X 1 X+1 2X 1 2X+1 X+2 X+1 X+2 1 2 X 2X X+2 1 1 X+2 1 1 X 0 1 2X+2 X 2 X+1 X X+1 X+1 2X 0 X+2 2X+1 1 X 1 0 1 2 X 2 X 2 2X 1 1 2X 1 0 X+1 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X 0 X 2X 0 X 2X X X X 0 2X 0 2X X 0 X 0 X 2X 2X 2X X 2X 0 X 0 2X X X 0 2X X X 2X 0 2X 2X X 2X X X X 2X 0 2X 2X X 2X 0 0 X 0 X X 0 X X 2X 0 0 0 2X 2X 0 0 2X X 2X X 0 2X 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X X 2X 0 2X X 0 X X 2X X 2X X 0 X 2X X 0 2X 0 X X X X 0 2X 2X 0 2X X 0 X X X 2X X 2X 0 0 0 0 X X 2X 0 2X 0 2X 2X X 2X 2X X 2X 0 X 2X X 2X X X 2X X X 0 X 2X X 2X 0 0 X 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X 2X 0 0 2X X X 0 2X 0 X X 2X 0 X X 2X 2X 0 0 X 2X 0 X 0 X 0 X 0 0 X 0 X 2X X 0 0 2X 0 X X 0 0 X 0 2X X X X 2X X X X 0 X 2X X 0 0 X X 0 0 2X X 0 2X X X X 0 0 2X 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 2X 2X X X 0 0 X X 0 2X X 0 2X X 2X 2X X X X 0 X 0 0 0 X X X 2X X 0 2X X 0 0 0 0 X 0 X 0 X X X 0 2X X X X 0 2X X 2X X 2X 2X 2X 2X 2X 0 2X 2X 2X 2X X X 2X X 0 X 2X X 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X X 2X 0 2X 2X 0 2X 0 0 0 2X 0 0 X 0 X X X 0 X 2X X X 2X X X X 0 0 2X 2X X X X 0 2X X 2X 0 X 2X 2X 2X X 0 X 2X 0 X X X 0 0 X 2X 0 2X X 0 0 X 0 X 0 0 2X 2X 2X 2X 2X 2X 2X generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+70x^153+60x^155+228x^156+372x^158+384x^159+816x^161+566x^162+1038x^164+662x^165+1560x^167+834x^168+2100x^170+790x^171+2310x^173+808x^174+2082x^176+684x^177+1488x^179+632x^180+900x^182+300x^183+306x^185+240x^186+78x^188+132x^189+12x^191+90x^192+52x^195+44x^198+16x^201+16x^204+6x^207+2x^210+4x^213 The gray image is a linear code over GF(3) with n=258, k=9 and d=153. This code was found by Heurico 1.16 in 10 seconds.