The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 X 1 1 1 0 1 1 X 1 1 2X 1 1 X 1 1 1 0 1 1 1 1 1 1 2X 2X 0 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 2X 1 1 1 1 0 1 X 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 0 X+1 1 0 1 2X+1 2 X+1 1 X+2 0 1 X 2X+1 1 0 X+1 1 X 2 X+1 1 2 X 2X+1 X+2 X 2X 1 1 1 2X 2X+1 0 2X 2X+1 X 2X+2 X+1 2X+1 X+1 1 0 2X 2 0 1 X+2 2X+1 2X 1 X+2 2X+2 2X+1 2X+2 1 1 1 2X+1 2 0 0 2X 0 0 0 0 0 0 0 2X X X X X 0 2X 0 2X X X X 0 X X 2X 2X X 0 2X 2X 0 0 X 2X 2X 0 0 2X 2X X 2X 2X 0 X X 2X 2X 2X 0 0 2X 2X 0 2X X 0 2X 2X X 2X 0 X X 0 0 X 0 2X 0 2X 0 X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X X 2X X 2X 2X 2X X X 0 0 0 0 0 0 2X X 0 0 2X 0 0 2X 2X 2X 0 2X X X 2X 2X X X 0 2X X 0 0 2X 0 0 X 0 2X X 0 X X X 0 X X 2X 2X 0 X X 0 X 0 0 0 0 X 0 X X X X X 2X 0 0 X 0 X 2X 0 2X 0 X 0 X X X 2X 0 0 X 0 X 2X 0 X 0 2X 2X 0 2X 2X 0 2X 0 2X X 2X 2X 0 2X 2X 0 2X X X 0 2X 2X X X X X X X 2X 2X X 0 0 X 2X X 0 0 0 0 0 0 2X 2X 0 2X X 0 2X X 2X X 2X 2X 2X 0 X X 0 2X 2X X 2X X 2X X X 2X X 2X 0 2X X 0 X X 2X X 0 0 0 2X 0 2X X X 2X X 2X 0 0 X 2X 0 2X 0 X X 0 X 0 0 2X 0 2X 0 2X X X X generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+84x^133+238x^135+354x^136+184x^138+486x^139+256x^141+660x^142+458x^144+684x^145+314x^147+708x^148+286x^150+684x^151+266x^153+474x^154+66x^156+210x^157+34x^159+30x^160+20x^162+14x^165+14x^168+10x^171+10x^174+2x^177+4x^180+6x^183+2x^186+2x^189 The gray image is a linear code over GF(3) with n=219, k=8 and d=133. This code was found by Heurico 1.16 in 39.4 seconds.