The generator matrix

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

generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+28x^49+14x^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=100, k=6 and d=49.
As d=49 is an upper bound for linear (100,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6.
This code was found by Heurico 1.16 in 0.0573 seconds.