The generator matrix

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

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+243x^36+292x^37+524x^38+356x^39+566x^40+356x^41+552x^42+244x^43+398x^44+196x^45+180x^46+68x^47+65x^48+20x^49+24x^50+4x^51+7x^52

The gray image is a linear code over GF(2) with n=164, k=12 and d=72.
This code was found by Heurico 1.16 in 0.368 seconds.