The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  0  X  X  X  0  X  0  X  X  0  X  X  0  X  X  0  X  X  0  0  X  X  X  X  0  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  X  0  X  X  0  0  X  X  X  X  0  X  0  X  X  0  X  X  X  0  X  X  X  0  X  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  X  X  0  X  X  0  X  X  0  X  X  0  0  0  X  0  0  0  X  X  0  0  0  0  X  X  X  X  0  0  0
 0  0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  0  X  0  X  0  X  0  X  X  X  X  0  X  X  X  X  0  0  0
 0  0  0  0  0  X  0  X  X  X  0  0  0  0  X  X  X  0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  X  0  X  X  0  0  X  X  0  0  X  X  0  0  X  X  0  X  X
 0  0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  0  0  0  0  0  X  X  X  X  X  0  X  0  0  0  0  0  X  0  X  X  0  X  0  X  X  X  0  0  0  X  X  0  X  X

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+78x^48+96x^50+32x^54+48x^56+1x^96

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 0.0583 seconds.