The generator matrix

 1  0  0  1  1  1  0  1 X^2  1  1 X^2+X  1  X  1  1  1 X^2+X  1  X  1  0  X X^2 X^2  1  1  1  1  1 X^2  1  1  X  1  1  X  1  1  1  1
 0  1  0  0  1 X^2+1  1  X  1 X+1 X^2+X+1  0 X^2  1  1 X^2+X  1  1  X  1 X^2+X+1 X^2+X  1  1 X^2 X^2+1 X+1  X X^2  1 X^2+X X^2+X+1 X+1  0 X^2 X^2+1 X^2  X X^2+1  1 X^2
 0  0  1 X+1 X^2+X+1  0 X+1 X^2+1 X^2+X X^2  1  1  X  1 X^2+X X+1 X^2+1 X^2  X X+1 X^2+X+1  1 X^2+1 X^2  1 X^2+X  0  1 X^2+X  0  1  0 X^2+X  1  1  X  1 X^2+1 X^2+X+1  1 X^2
 0  0  0 X^2  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0
 0  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+45x^36+168x^37+293x^38+242x^39+279x^40+166x^41+277x^42+160x^43+125x^44+88x^45+95x^46+46x^47+24x^48+26x^49+7x^50+6x^52

The gray image is a linear code over GF(2) with n=164, k=11 and d=72.
This code was found by Heurico 1.16 in 0.116 seconds.