The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  0  1  X  0  1  0  X  X  1  1  1  1  1  0  1  0  1  0  X  1  X  X  1  0  1
 0  1  0  0  0  0  0  0  0 X+1  1  1  0  1  1 X+1  X  0  1  1 X+1  X  1  1  X  1  1 X+1 X+1  X  0  0 X+1  1  X  1  1  1  1  X  1
 0  0  1  0  0  0  1  1  1  1  1  0  X  1  X  X  X X+1  1  0  0  1 X+1  1  X  0 X+1  1  X  X  X  1  1  1  1  0 X+1 X+1 X+1  1  1
 0  0  0  1  0  1  1  0  1  0  0  0  1  X  1  0  1  X X+1  1  1  X  1  X  X  X X+1 X+1  1  1 X+1  1  0 X+1 X+1  0  X  0 X+1  0  0
 0  0  0  0  1  1  0  1  1 X+1  X X+1  0 X+1  0  0 X+1  0  1  1  1  1  0  X X+1  1  1  0 X+1  1  X  X  0 X+1 X+1  1 X+1  0 X+1  X  0
 0  0  0  0  0  X  0  0  0  X  X  0  X  0  X  0  X  0  X  0  0  0  0  X  0  X  X  X  0  X  0  X  X  X  0  0  0  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  0  X  0  X  X  0  0  X  X  0  0  X  X  X  0  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  0  0  0  X  X  X  X  0  0  X  0  X  X  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  0  X  0  X  X  0  X  0  X  X  X  0  0  0  0  0  X  0  X  0  X  0  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+86x^30+138x^31+243x^32+328x^33+572x^34+646x^35+748x^36+926x^37+1143x^38+1318x^39+1192x^40+1460x^41+1459x^42+1264x^43+1158x^44+1072x^45+824x^46+618x^47+396x^48+292x^49+238x^50+106x^51+92x^52+18x^53+27x^54+6x^55+8x^56+3x^58+2x^60

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 35.2 seconds.