The generator matrix

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

generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+1064x^96+576x^97+720x^98+864x^99+684x^100+288x^101+948x^102+504x^103+288x^104+568x^105+6x^106+6x^108+18x^111+12x^115+14x^117

The gray image is a linear code over GF(3) with n=450, k=8 and d=288.
This code was found by Heurico 1.16 in 74.9 seconds.