The generator matrix

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

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+42x^38+53x^40+20x^46+7x^48+2x^54+3x^56

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 3.24 seconds.