The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+287x^32+496x^34+935x^36+1088x^38+1247x^40+1308x^42+1248x^44+780x^46+555x^48+164x^50+72x^52+4x^54+5x^56+1x^64+1x^68

The gray image is a linear code over GF(2) with n=82, k=13 and d=32.
This code was found by Heurico 1.16 in 15.1 seconds.