The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+67x^36+126x^38+113x^40+66x^42+50x^44+36x^46+27x^48+10x^50+11x^52+2x^54+3x^56

The gray image is a linear code over GF(2) with n=82, k=9 and d=36.
This code was found by Heurico 1.10 in 0.015 seconds.