The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+324x^40+416x^41+722x^42+508x^43+1040x^44+656x^45+1044x^46+604x^47+1011x^48+512x^49+600x^50+276x^51+286x^52+80x^53+60x^54+20x^55+24x^56+6x^58+2x^60

The gray image is a linear code over GF(2) with n=184, k=13 and d=80.
This code was found by Heurico 1.16 in 4.5 seconds.