The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  0  1  1  0  X  1  1  1  1  1  1  1  1  0  X  1  1  0  1  1  0  1  X  1  1  1
 0  1  1  0  1  1  0  1  1  X X+1  1  0 X+1  1  1  0 X+1  1  1  0  0 X+1 X+1 X+1 X+1  0  X  1  1  0  0  1  0  1  1  X  1 X+1 X+1  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  X  X  0  0  X  X  0  0  0  X  X  X  X  X  0  X  X  X  X  X  0  X  0  X  X  0  X
 0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  0  X  0  0  0  X  X  0  0  X  0  X  0  X  X  0  X  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  0  X  X  0  0  X  0  X  X  0  0  X  X  0  0  0  0  0  X  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  0  0  0  0  X  X  X  0  0  0  X  X  X  X  0  0  0  0  0  X  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  X  0  0  0  X  X  0  0  X  0  X  X  0  X  X  0  0  X  X  0  0  X  X  0  0  0  X  X  X  X  0  X
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  X  0  X  X  X  0  X  0  0  0  X  0  0  X  0  0  X  X  0  X  X  0  0  0  0  0  X
 0  0  0  0  0  0  0  0  X  0  0  X  X  0  0  0  X  X  0  0  X  X  X  X  X  X  X  0  0  0  X  X  0  0  X  X  0  0  X  0  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+74x^32+78x^34+293x^36+220x^38+403x^40+296x^42+315x^44+164x^46+137x^48+10x^50+47x^52+9x^56+1x^60

The gray image is a linear code over GF(2) with n=82, k=11 and d=32.
This code was found by Heurico 1.16 in 0.36 seconds.