The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 2X 1 X 1 1 0 1 1 X 1 1 1 1 X 2X 1 1 2X X 1 1 1 0 0 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 1 2X+2 2X+1 X+1 X+1 2 1 2 1 1 2X+1 1 2X+2 2 1 1 2 X 2X+2 X+2 2X+2 2X 1 1 2X+1 X+1 2X 1 2X+2 X+1 0 1 1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 X 1 0 X+1 1 2X+2 1 2X+1 X+2 2 X 1 0 X 2 2X X+2 1 2 0 X+1 2X X+1 1 X+2 X+2 1 X+1 X+2 2X+2 2X 2X+1 0 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 2X+2 2X+1 X+1 2X 2 2X+1 1 2X 1 X 2X 2 X+2 X 2X+2 X+2 X+2 X+1 X 2X 2 X 0 2X+1 2X+1 0 X+2 2X+1 X+1 0 1 0 X generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+216x^85+216x^86+378x^87+474x^88+234x^89+414x^90+618x^91+282x^92+462x^93+462x^94+252x^95+372x^96+522x^97+186x^98+240x^99+276x^100+174x^101+222x^102+276x^103+90x^104+78x^105+48x^106+12x^107+20x^108+24x^109+12x^110 The gray image is a linear code over GF(3) with n=141, k=8 and d=85. This code was found by Heurico 1.16 in 0.478 seconds.