The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  0  1  X  1  0  1  1  X  0  1  1  0  1  0  1  1  0  1  X  1  1  1  1  1  1  0  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  X  1  1 X+1  1  X  0  X  1  X  X  1 X+1  0 X+1  1  1  0  1  X  0  X  1  1  0  1  0
 0  0  1  0  0  0  1  1  1  1 X+1  0  0 X+1  X  1  X  X  1  0  X  1  X  1  0  1  X  1 X+1  X  0  X X+1  X  1  X  1  X  0  0  1
 0  0  0  1  0  1  1  0  1  X X+1  1  0  1  0 X+1  X  1  0  1  X  1  0  1  X  X  0  0  0 X+1  0 X+1  0  X  1  X  0 X+1 X+1  X  1
 0  0  0  0  1  1  0  1 X+1  X X+1 X+1  1  X  1  1  X  0 X+1  1  X X+1  X X+1 X+1  0  X X+1 X+1 X+1 X+1  X  0  1  1  1  X  1  1  1  0
 0  0  0  0  0  X  0  0  X  0  X  X  X  X  X  0  X  X  0  0  X  X  0  X  X  X  X  0  X  X  X  X  X  X  X  0  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  0  0  X  X  0  X  0  X  X  0  0  0  X  X  0  X  X  X  X  X  X  X
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  X  X  X  X  X  0  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+250x^32+568x^34+920x^36+1056x^38+1298x^40+1252x^42+1200x^44+892x^46+481x^48+196x^50+72x^52+4x^54+1x^56+1x^72

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 5.08 seconds.