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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+42x^50+7x^52+7x^56+6x^58+1x^60

The gray image is a linear code over GF(2) with n=102, k=6 and d=50.
As d=50 is an upper bound for linear (102,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6.
This code was found by Heurico 1.16 in 4.3 seconds.