The generator matrix

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

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+28x^49+78x^50+14x^52+2x^53+1x^54+1x^56+2x^61+1x^62

The gray image is a linear code over GF(2) with n=200, k=7 and d=98.
As d=99 is an upper bound for linear (200,7,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 7.
This code was found by Heurico 1.16 in 6.86 seconds.