The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  1  X  X  1  X  1  0  X  1  X  1  X  1  1  1  1  1  1  1  0  1  0  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1 X+1  1  X X+1  1  0  1 X+1  1  0  X  X  X  1  0  X  1  0  X X+1 X+1  X X+1  1  1  0 X+1 X+1  0
 0  0  1  0  0  0  1  1  1  X  1 X+1 X+1  1  1  0 X+1  1 X+1  0  X  0  1  1 X+1  X  X  0 X+1 X+1  0  0  X X+1  X  1  0  1  0  0  0
 0  0  0  1  0  1  1  0 X+1  X  0  X X+1 X+1  0  1  0  0  X  0  1  X X+1  0 X+1  X  1  X  1 X+1  1  0  0  X  X  0 X+1  1  X  0  0
 0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X  0  1  1 X+1  0  X  X X+1  X  1  X  X X+1  1  0 X+1 X+1  X  0  0 X+1  0 X+1  X  X  0  0
 0  0  0  0  0  X  0  X  X  X  0  X  X  X  X  0  0  0  X  X  X  0  X  0  0  0  X  X  X  0  0  X  0  0  0  0  0  0  X  0  X
 0  0  0  0  0  0  X  0  X  0  X  X  0  0  X  0  0  X  0  X  X  X  X  0  0  X  X  X  X  X  0  0  0  0  X  X  0  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+62x^32+76x^33+140x^34+234x^35+237x^36+248x^37+324x^38+300x^39+290x^40+334x^41+260x^42+316x^43+278x^44+274x^45+245x^46+156x^47+135x^48+86x^49+48x^50+18x^51+21x^52+6x^53+6x^54+1x^62

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 1.18 seconds.