The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 0 1 1 1 X 1 1 X 1 1 1 1 X X 1 0 X 2X 0 2X^2+X 2X 0 2X^2+X 2X X^2 2X^2+X 2X X^2+X X^2+2X 0 X^2+X X^2 2X^2+2X 2X^2+X X^2 2X 2X^2+2X 0 2X^2+X 2X^2 X 2X X X^2 X^2+2X 0 2X^2+X 2X X^2+2X 2X X X^2 X^2 X 2X^2+X 2X^2 X^2+X 2X X^2+2X X^2 0 X^2+2X 2X^2+X 2X^2 0 0 0 X^2 0 0 0 0 2X^2 X^2 0 X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 0 X^2 2X^2 2X^2 0 0 2X^2 0 X^2 0 2X^2 2X^2 2X^2 2X^2 0 X^2 2X^2 2X^2 0 X^2 X^2 2X^2 X^2 0 2X^2 0 0 0 2X^2 X^2 2X^2 0 0 0 0 0 X^2 0 0 0 0 0 2X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 0 0 2X^2 X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 0 0 0 0 2X^2 2X^2 0 0 X^2 0 X^2 X^2 X^2 0 2X^2 0 0 0 0 0 0 2X^2 0 X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 0 X^2 2X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 0 X^2 0 0 2X^2 2X^2 0 X^2 2X^2 2X^2 X^2 X^2 0 0 2X^2 2X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 0 0 X^2 0 X^2 X^2 0 2X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 0 X^2 2X^2 0 0 2X^2 X^2 X^2 2X^2 0 X^2 X^2 X^2 generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+28x^87+90x^88+78x^89+102x^90+288x^91+186x^92+130x^93+432x^94+312x^95+584x^96+1446x^97+2148x^98+2004x^99+2532x^100+3660x^101+2020x^102+1776x^103+654x^104+54x^105+504x^106+204x^107+60x^108+150x^109+42x^110+38x^111+60x^112+6x^113+26x^114+12x^115+16x^117+22x^120+10x^123+4x^126+4x^129 The gray image is a linear code over GF(3) with n=450, k=9 and d=261. This code was found by Heurico 1.16 in 1.66 seconds.