The generator matrix

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

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+35x^40+132x^41+111x^42+254x^43+173x^44+266x^45+158x^46+270x^47+148x^48+242x^49+102x^50+74x^51+18x^52+30x^53+8x^54+10x^55+7x^56+2x^57+3x^58+1x^60+2x^62+1x^64

The gray image is a linear code over GF(2) with n=184, k=11 and d=80.
This code was found by Heurico 1.16 in 0.18 seconds.