The generator matrix

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

generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+27x^48+38x^49+27x^50+4x^52+24x^53+4x^54+2x^65+1x^66

The gray image is a linear code over GF(2) with n=100, k=7 and d=48.
As d=48 is an upper bound for linear (100,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7.
This code was found by Heurico 1.16 in 0.0171 seconds.