The generator matrix 1 0 0 1 1 1 1 1 1 X X^2 1 1 1 2X^2+X 1 1 1 X^2+X X^2+X 1 X^2+2X 1 1 1 1 0 1 1 1 1 2X^2+X 2X 1 1 1 0 1 2X^2 1 2X^2+X 1 2X 1 1 X^2 1 1 1 2X^2+2X 1 1 2X^2 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X X^2+X 2X^2+2X 1 X^2+X 2X^2+2X 0 1 1 1 1 1 1 2X 1 0 1 0 0 X^2 2X^2+2X+1 2X+1 X+1 2 1 1 2X^2+X+2 X+2 2 2X^2 2X^2+X 2X^2+2X+1 2X+1 1 1 X^2+X+2 1 2X^2+X+1 X^2+X+2 2X X^2+X 1 X+1 X^2+2 2X^2+X 2X^2+2X 2X^2+X 1 X^2+2 X+1 2X^2+2 1 2X^2+2X+1 1 X^2+2X 1 2X^2+1 2X 2X^2+2 0 2X 2X^2+2X+1 2X^2+2X X^2+2X+2 1 2X^2+X+1 X^2 1 2X X+1 1 1 2X+1 X^2+1 2X^2+X+1 2X^2+2X+2 0 2 X^2+2X+2 X+2 X^2+X 1 X^2+X 1 1 2X^2+2 1 1 1 2X^2+1 X^2+1 2X^2+X+1 X^2+1 2X^2 X^2+2 X 0 0 0 1 2X^2+2X+1 2X^2+2 X^2+2 2X+1 0 X+1 1 2X^2+2X+2 2X^2 X^2+X+2 X^2+2 1 2X^2+2 2X^2+2X+2 2X^2+2X X^2+2X+2 X+1 2X^2+2X+1 X^2+2X 2X^2+1 2X^2+X X+1 X^2 X X^2+2X+1 X^2+2X+1 X+2 2X+1 1 2X^2+X+1 X^2 2X^2+X+2 2X^2+X+2 2X^2+X+2 0 X^2+2X X X^2+2 2X^2+X+1 1 X^2+2X+2 2X^2+X+1 1 X^2+X+2 2X^2+2 X^2+2X 2X^2+1 2X^2+X+1 2X^2+2X+2 X+1 X^2+2X 2X^2+2 X^2+X 2X^2+2X X^2+X 2X+1 1 X 2X^2+2X+1 X+2 X^2+1 X^2+2 2X^2+2X+1 2X^2 1 X^2+2X+1 X^2+1 2X^2+1 X^2+X+1 X^2 X 0 2X^2+2 2X+2 2X^2+1 2X^2+X+2 2X+1 1 2X^2 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 2X^2 2X^2 X^2 2X^2 X^2 X^2 0 X^2 2X^2 0 2X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 2X^2 2X^2 X^2 X^2 2X^2 0 X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 0 X^2 0 2X^2 0 0 0 2X^2 X^2 0 2X^2 0 X^2 X^2 2X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 X^2 2X^2 2X^2 0 X^2 generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 155. Homogenous weight enumerator: w(x)=1x^0+546x^155+792x^156+1656x^157+3174x^158+3086x^159+3708x^160+5178x^161+4104x^162+4830x^163+6264x^164+4320x^165+4032x^166+5052x^167+3178x^168+2622x^169+2838x^170+1564x^171+936x^172+702x^173+192x^174+126x^175+24x^176+12x^177+36x^178+6x^179+2x^180+12x^181+12x^182+18x^184+12x^185+6x^187+6x^188+2x^189 The gray image is a linear code over GF(3) with n=738, k=10 and d=465. This code was found by Heurico 1.16 in 9.99 seconds.