The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+131x^30+508x^32+986x^34+1580x^36+2194x^38+2615x^40+2847x^42+2496x^44+1631x^46+831x^48+336x^50+148x^52+60x^54+13x^56+7x^58

The gray image is a linear code over GF(2) with n=82, k=14 and d=30.
This code was found by Heurico 1.16 in 44.5 seconds.