The generator matrix 1 0 0 1 1 1 1 1 1 2X^2 1 1 2X^2+X 1 X^2+X 1 2X^2+2X 2X X^2+X 1 1 1 1 2X^2+2X X^2 1 1 1 1 1 X 1 1 1 1 X^2+X 1 2X^2+X 0 1 1 1 1 1 X^2 2X^2 1 1 X 1 0 1 0 2X^2 2X^2+X 2X^2+2X+1 2X+1 X^2+2X+2 2X^2+2X+2 1 2X^2+X+1 2X^2+2 1 X^2 1 X^2+X+1 1 1 2X X^2+2 2X^2+2X+2 2X^2 2X^2+1 1 1 X X^2+1 2X^2+X+1 X^2+X X^2+X+2 1 2X^2+X+2 X^2+2X+1 X+2 1 X 2 1 1 2 2X^2+2X+1 2X^2+X 2X^2+2X 2X^2+X+2 X 1 1 X 1 2X^2 0 0 1 2X^2+2X+1 2X^2+2X+2 X^2+2X+2 2X+1 2X^2 X^2+1 X^2+1 2X^2+X 2X^2+X+2 2X^2+2X+2 X 2X^2+X X^2+X+2 X^2+2X+1 2 1 X^2 X+1 X^2+X+1 X^2+2X 2X^2+X+1 2X^2+2X X^2+X+2 X^2+1 2X^2+2 2X X+2 2X^2 2X^2 1 2X^2+2X 2X+1 1 1 2X^2+2 X^2+2X+1 2X^2+X+1 2 X^2+X+1 2X^2+X+2 X^2+2 1 X+1 X^2+X X X+1 X^2 generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+648x^94+552x^95+1574x^96+2556x^97+1710x^98+1822x^99+3060x^100+1254x^101+1776x^102+1836x^103+750x^104+866x^105+930x^106+258x^107+28x^108+24x^109+12x^110+6x^112+8x^114+12x^115 The gray image is a linear code over GF(3) with n=450, k=9 and d=282. This code was found by Heurico 1.16 in 0.618 seconds.