The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+98x^48+48x^50+58x^52+16x^54+17x^56+9x^60+8x^64+1x^68

The gray image is a linear code over GF(2) with n=102, k=8 and d=48.
As d=48 is an upper bound for linear (102,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 0.0231 seconds.