The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  0  1  1  0 X^2  1 X^2+X  X  1  X  1  1  1  1  1  1  1  1 X^2+X  1 X^2  1  X X^2  0  1 X^2  1  X  X  X  1  1 X^2+X X^2+X
 0  1  0  0  0  1 X^2+1  X  1  1  1 X^2+X X^2 X^2+X+1  1  1 X^2 X^2  0  1  X X^2  X X^2+X  1 X^2 X^2+1 X^2+1 X^2+X+1  1 X^2+X+1  1  X  1  1  0 X^2+X  1 X^2  1  1  1 X^2+X+1 X^2+X+1 X^2+X  1
 0  0  1  0  0 X^2  1 X^2+1 X^2+X+1 X+1 X^2+X  1 X^2+X+1  0  1  X  0 X^2+X  1 X^2  1 X^2+1 X+1  0  X X^2+X X+1  X X+1  X X^2+1  1 X^2 X^2+X+1  1 X^2  X X+1  1  1 X^2+X  X  0  0  1 X^2
 0  0  0  1  1  0 X^2+1 X^2+X  1 X^2+X X+1  1 X^2+1 X^2+X+1 X^2 X^2+X X^2+X+1  1 X^2+1  X X^2 X^2+X X^2+1 X^2+1 X^2+X+1  0 X^2+X+1  1  X X^2+X+1 X^2 X^2+1 X+1  X X^2+X+1  1 X^2+1  0 X^2+1  0 X^2  1 X^2+1 X^2 X^2  1
 0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0  0  0 X^2  0  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+323x^40+336x^41+752x^42+604x^43+1024x^44+712x^45+1060x^46+520x^47+911x^48+532x^49+672x^50+268x^51+280x^52+80x^53+68x^54+16x^55+21x^56+4x^57+8x^58

The gray image is a linear code over GF(2) with n=184, k=13 and d=80.
This code was found by Heurico 1.11 in 5.27 seconds.