The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+294x^36+354x^40+216x^44+133x^48+26x^52

The gray image is a linear code over GF(2) with n=82, k=10 and d=36.
As d=36 is an upper bound for linear (82,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10.
This code was found by Heurico 1.16 in 4.54 seconds.