The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 2X 1 1 1 0 1 2X^2+X 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 2X 1 1 1 2X^2+X 1 1 1 2X 1 1 1 X^2+X 0 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 2X^2 1 X^2 X^2+2X 1 1 1 1 1 1 1 X^2 1 1 1 1 X 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 1 2X^2+1 2X^2+2X+1 2 1 2X^2+1 1 2X^2+X+2 0 1 2X^2+X 2X+2 2X X+1 0 1 2X^2+X 2 2X^2+X+2 2X+2 2X^2+1 2X 1 X+1 0 2X^2+2X+1 1 2 2X 2X^2+1 1 X+1 X^2+2 2X^2+X+2 1 1 2X^2+X X^2+X+2 X^2+2X X^2+1 2X^2+2X+1 X^2 X^2+X+2 2X^2 1 X^2+2 2X^2+2X 2 X+2 X^2+X+1 1 2X^2+X+2 1 1 X^2+X+1 2X^2+2X X^2+X 2X^2 2X 2X+2 0 1 X^2+2X+1 X 2X^2+2 X^2+2X+1 X^2+2X 0 0 0 2X^2 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 2X^2 2X^2 0 0 0 0 X^2 2X^2 2X^2 X^2 2X^2 0 2X^2 0 2X^2 X^2 0 2X^2 0 2X^2 0 2X^2 2X^2 0 2X^2 0 X^2 0 2X^2 X^2 X^2 X^2 0 2X^2 X^2 0 2X^2 2X^2 X^2 0 0 0 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 0 0 2X^2 2X^2 0 X^2 X^2 0 2X^2 2X^2 2X^2 X^2 0 0 0 X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 0 0 2X^2 2X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 0 0 0 0 2X^2 0 0 2X^2 X^2 0 X^2 2X^2 X^2 X^2 X^2 0 2X^2 0 0 0 2X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 X^2 0 X^2 X^2 2X^2 2X^2 2X^2 0 2X^2 X^2 0 X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 0 X^2 0 0 0 0 2X^2 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 0 0 X^2 X^2 2X^2 X^2 0 X^2 0 2X^2 2X^2 2X^2 0 X^2 0 0 0 2X^2 0 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 0 X^2 X^2 X^2 2X^2 0 X^2 2X^2 2X^2 X^2 2X^2 X^2 0 2X^2 X^2 2X^2 X^2 0 2X^2 2X^2 X^2 0 2X^2 X^2 0 0 0 X^2 X^2 0 2X^2 0 X^2 X^2 2X^2 generates a code of length 78 over Z3[X]/(X^3) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+342x^147+540x^149+1652x^150+216x^151+1206x^152+1928x^153+324x^154+2142x^155+2874x^156+648x^157+2160x^158+2552x^159+270x^160+1170x^161+1286x^162+72x^164+172x^165+70x^168+22x^171+12x^174+6x^177+10x^180+2x^183+2x^186+2x^189+2x^195 The gray image is a linear code over GF(3) with n=702, k=9 and d=441. This code was found by Heurico 1.16 in 1.62 seconds.