The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  1  0  X  1  1  X  0  1  1  X  0  1  1  0  1  1  X  1  1  1  1  1  1  1  1  1  1  0  1  1  0  X  0  X  0  X  X  X  1
 0  1  0  X  1 X+1  1  X  0  0  1 X+1  1  1 X+1  1  1  1 X+1  1  1  1  X  0  X  X  0  X  0  0  X  X  X  X  0  0  1  1  1 X+1 X+1  1  1  0  1  X  0  0  X X+1
 0  0  1  1 X+1  X  1 X+1  X  1  1  0  X X+1 X+1  X  X X+1  1  0  0  1  X X+1  1  0  1  1  0  X  X  0  1 X+1 X+1  1  1 X+1  0 X+1  1  X  1  1 X+1  1  0  X  X  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+24x^49+15x^50+6x^51+12x^52+3x^56+1x^58+2x^59

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 0.019 seconds.