The generator matrix

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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+102x^96+84x^97+138x^98+186x^99+42x^100+30x^102+48x^105+24x^106+12x^107+20x^108+12x^109+6x^111+12x^114+12x^116

The gray image is a linear code over GF(3) with n=150, k=6 and d=96.
This code was found by Heurico 1.16 in 0.0234 seconds.