The generator matrix

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

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+48x^50+12x^52+2x^56+1x^64

The gray image is a linear code over GF(2) with n=200, k=6 and d=100.
As d=100 is an upper bound for linear (200,6,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 6.
This code was found by Heurico 1.16 in 0.0275 seconds.