The generator matrix

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

generates a code of length 41 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+210x^35+470x^36+552x^37+683x^38+894x^39+905x^40+936x^41+895x^42+730x^43+748x^44+498x^45+294x^46+218x^47+84x^48+44x^49+15x^50+12x^51+2x^53+1x^54

The gray image is a linear code over GF(2) with n=164, k=13 and d=70.
This code was found by Heurico 1.16 in 1.61 seconds.