The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+128x^28+164x^30+621x^32+796x^34+1763x^36+1916x^38+2857x^40+2520x^42+2384x^44+1372x^46+1137x^48+364x^50+264x^52+36x^54+55x^56+4x^60+1x^64+1x^68

The gray image is a linear code over GF(2) with n=82, k=14 and d=28.
This code was found by Heurico 1.16 in 17.8 seconds.