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  1  1  1  1  1  1  1  1  0  1  0  X  1  1  X  1  1  1  1
 0  X  0  0 2X 2X^2+X 2X^2+2X  X 2X X^2  X  X 2X^2+2X 2X^2+X  0 X^2 2X^2+2X 2X^2+X X^2+2X X^2 2X^2 X^2 2X 2X^2+X  X 2X^2+2X 2X 2X^2 X^2+X X^2+2X  0 2X^2+X X^2+2X 2X^2 2X 2X^2 2X^2+2X 2X^2+X X^2+X  0 2X^2+2X  X  X 2X^2  X  0 2X^2  0 2X^2+X 2X
 0  0  X 2X X^2 2X^2+2X X^2+X  X 2X^2+2X 2X^2 X^2+X 2X^2 X^2+X 2X  X 2X  0 X^2+X X^2+2X 2X^2+2X 2X^2+X 2X^2  X 2X 2X^2 2X^2 2X 2X^2+2X X^2+2X  0 2X^2  0 X^2+X  X X^2+2X X^2+2X  0 2X^2  0  X 2X^2+2X 2X^2  X X^2+2X X^2+2X 2X^2+X 2X^2+X X^2+X 2X^2 2X
 0  0  0 X^2  0  0 2X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2  0  0  0 2X^2 X^2  0 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2  0 2X^2 X^2 X^2 2X^2  0  0  0  0 X^2  0 2X^2 2X^2 X^2  0 X^2  0

generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+222x^93+72x^94+120x^95+442x^96+276x^97+924x^98+610x^99+822x^100+1752x^101+542x^102+222x^103+60x^104+130x^105+24x^106+48x^107+160x^108+24x^109+12x^110+50x^111+12x^112+28x^114+6x^115+2x^138

The gray image is a linear code over GF(3) with n=450, k=8 and d=279.
This code was found by Heurico 1.16 in 0.21 seconds.