The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 X 1 1 1 X 1 2X 1 1 1 2X X 1 1 1 2X 1 X 1 1 1 1 X 1 1 1 0 2X 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 X+2 1 1 0 2X+1 2 X+1 X 2 1 0 1 2 2X+1 1 2X+2 2X+1 0 X+1 X 2X+2 1 2 2X 2X+1 1 X+2 1 X+2 2X+1 X+2 1 1 1 0 2X 1 2X 1 2X+2 2X+1 X+1 1 1 2 X+1 X 1 1 2X+1 X+1 X+1 0 1 2X+1 2X+1 X+2 2X+1 2X+2 0 1 2X+2 1 1 X+2 2X X+2 X+1 X 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X 0 X 2X X 2X 0 X 2X 2X 2X X X 0 2X X 2X 0 2X X 2X X X 2X 0 2X 2X 0 2X X X X 0 0 0 0 2X X 0 X X 2X X X 2X 2X 2X 2X 0 2X X 2X 0 X X 0 X X 2X X 0 0 2X 0 2X 0 2X X 2X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X X 2X 0 X X 2X 0 2X 0 0 2X 2X X X X 2X 2X X X X X 0 X 2X 0 X X 2X 2X 2X 2X 0 X 2X X 2X 2X 2X 0 2X X 0 2X 2X 2X X 0 0 2X 0 X X 2X X 0 2X 0 2X X X 2X X X 2X X X X 0 X 0 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X 2X 0 0 2X 0 2X 2X X 2X 2X 0 2X X 0 0 X X X 0 X X X X 0 2X 2X 0 0 X 2X X 0 2X 2X 2X 0 X X 2X 0 0 2X 0 0 0 2X X X 2X X 2X X 0 0 0 2X 0 X 2X 0 X 2X X 0 2X X 2X X 0 X 0 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 2X X 0 2X X 0 0 X 2X 0 0 0 X 0 0 0 X X 0 2X X 2X 2X 2X 0 2X 0 0 2X 0 X 0 X 2X 2X 0 2X X X 0 X 0 2X 0 X 2X 0 2X 2X 0 X X 2X 0 0 X X 0 0 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X X 2X 0 2X X 2X X 2X X X 2X 0 X 2X 2X 0 0 0 X 2X 2X 0 0 2X 0 2X X 2X X 2X 2X 0 X 2X 2X X X 0 0 X X X 2X 2X X 0 2X 2X 0 2X X 2X 2X 0 2X X 0 0 0 X X X X 0 0 0 X 2X 2X 0 X generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+32x^150+18x^152+124x^153+66x^154+162x^155+208x^156+324x^157+456x^158+198x^159+438x^160+612x^161+248x^162+870x^163+978x^164+222x^165+1344x^166+1236x^167+188x^168+1482x^169+1608x^170+118x^171+1578x^172+1356x^173+160x^174+1236x^175+1164x^176+138x^177+924x^178+708x^179+118x^180+342x^181+312x^182+98x^183+120x^184+114x^185+92x^186+18x^187+24x^188+74x^189+6x^190+48x^192+48x^195+42x^198+20x^201+6x^204+2x^207+2x^216 The gray image is a linear code over GF(3) with n=255, k=9 and d=150. This code was found by Heurico 1.16 in 9.85 seconds.