The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  1  0  0  0  0  0  0  0  1  1  1  1  1  1  1  1  1  1  X  0  X  X  0  0  X  0
 0  X  0  0  0  X  X  X  0  0  0  X  0  X  X  X  0  0  X  X  0  X  X  0  X  X  X  X  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  X  X  X  X  X
 0  0  X  0  X  X  X  0  0  0  X  X  X  X  0  0  0  X  X  0  X  X  0  0  0  0  X  X  X  X  0  0  X  X  X  X  0  0  0  0  X  X  X  X  0  0  X  0  0
 0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  X  X  0  0  0  X  X  0  0  X  X  0  0  X  X  X  X  0  0  X  X  0  0  X  X  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+16x^49+6x^50+6x^52+1x^54+1x^56+1x^62

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 0.0229 seconds.