The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+8x^49+10x^50+8x^51+2x^52+2x^54+1x^56

The gray image is a linear code over GF(2) with n=98, k=5 and d=49.
As d=49 is an upper bound for linear (98,5,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 5.
This code was found by Heurico 1.16 in 0.0196 seconds.