The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  X  1  1  X  1  1  X  1  1  X  X  X  X  X  0  X  0  X  0  X  0  1  0  1  1  1  X
 0  1  1  0  1  1 X+1  0  1  0 X+1  1  X X+1  1  X  1  1  X X+1  1  X  1  1  0  0  0  X  X  0  0  X  X  X  X  0  1 X+1 X+1  0  1
 0  0  X  0  0  0  0  X  X  X  X  X  X  0  X  X  0  X  0  X  0  0  X  0  0  0  X  X  0  X  X  0  0  X  X  0  0  0  0  0  X
 0  0  0  X  0  X  X  X  X  0  X  0  0  0  0  X  X  X  X  0  X  0  X  0  0  X  X  0  0  0  X  X  X  X  0  0  0  0  0  X  0
 0  0  0  0  X  0  X  X  X  X  0  X  X  X  X  X  X  X  0  0  0  0  0  0  X  X  0  0  X  0  0  X  X  0  0  0  0  X  0  0  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+36x^38+26x^40+36x^42+20x^44+8x^46+1x^80

The gray image is a linear code over GF(2) with n=82, k=7 and d=38.
This code was found by Heurico 1.16 in 0.0237 seconds.