The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+101x^38+44x^40+56x^42+14x^44+26x^46+3x^48+2x^52+9x^54

The gray image is a linear code over GF(2) with n=82, k=8 and d=38.
As d=38 is an upper bound for linear (82,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8.
This code was found by Heurico 1.16 in 28.9 seconds.