The generator matrix

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

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+147x^32+212x^34+519x^36+520x^38+692x^40+584x^42+611x^44+400x^46+288x^48+68x^50+37x^52+8x^54+8x^56+1x^60

The gray image is a linear code over GF(2) with n=82, k=12 and d=32.
This code was found by Heurico 1.16 in 1.36 seconds.