The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 1 1 1 X 1 2X 2X 0 X 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 0 0 1 0 1 1 1 1 1 1 1 1 0 X 1 1 X 1 2X 2X 1 1 X 1 1 1 1 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X 1 X+1 X+2 2X+1 0 2X X+2 X+1 1 1 1 1 1 0 2X+2 1 X+2 X X+1 2X X 0 2 0 X 1 2 X+2 2X X 0 1 1 0 1 1 2 2X+1 X X 0 2X+2 2X 1 2X 2 0 1 0 1 1 2 2X+2 2X X+2 2 X+2 1 1 2X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2X 2 X+2 2X+1 X+2 X+2 1 1 1 2 X+1 2 2 1 1 1 1 X+2 2X+2 2X+1 2 X+1 2 2 1 2 2X+2 X+1 X+2 1 1 1 X+1 X X+1 X+1 2X+1 2X+2 X+2 1 X+1 1 0 2 0 1 X+1 X+2 2X+2 X+2 2X+1 2X 0 2 0 0 X+1 X X+1 2X X+2 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2 X+1 2 2X X+1 2X 2 2X+1 X+2 2X+2 X+1 2 2X 2X 2X X+1 2X+1 2X+1 2X+2 1 2X 0 1 X+2 1 0 X 2X 0 X+1 1 0 1 0 0 2X X 2X+1 X+2 X X X+2 1 X+1 0 2X+2 2X+1 X 0 2 1 2X X+2 X+1 1 2 2X+2 X+2 2X+2 X+2 X 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X+1 0 2X X X+1 1 2X+1 X+1 0 X+1 2X+2 2X+2 X+1 2X 2X+2 2X X+2 2X 0 2X+1 0 X+2 X 2X+2 2X 2X+2 X+1 2X+1 0 2X+2 X+2 2X+1 1 2X+1 X 2X+2 X 2X+2 X+2 2X 2X+1 1 1 2 2 2X X+1 X+2 2X+2 2 1 1 0 X+2 X+1 2X+2 X+2 2X X+1 0 2 generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+176x^153+264x^154+510x^155+980x^156+1002x^157+954x^158+1516x^159+1296x^160+1668x^161+2520x^162+1956x^163+1986x^164+2854x^165+2094x^166+2280x^167+3320x^168+2436x^169+2574x^170+3412x^171+2478x^172+2364x^173+3382x^174+2454x^175+2238x^176+2624x^177+1620x^178+1506x^179+1788x^180+1062x^181+972x^182+962x^183+522x^184+336x^185+370x^186+246x^187+66x^188+118x^189+54x^190+36x^191+30x^192+12x^193+6x^194+4x^198 The gray image is a linear code over GF(3) with n=255, k=10 and d=153. This code was found by Heurico 1.16 in 70.3 seconds.