The generator matrix

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

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+79x^40+172x^41+409x^42+304x^43+638x^44+358x^45+503x^46+264x^47+428x^48+248x^49+292x^50+120x^51+152x^52+62x^53+43x^54+14x^56+8x^57+1x^58

The gray image is a linear code over GF(2) with n=184, k=12 and d=80.
This code was found by Heurico 1.11 in 0.171 seconds.