The generator matrix

 1  0  0  1  1  1 X^2+X  1  X  1  1  1 X^2+X X^2  1  1  1 X^2+X X^2+X  1  1  X  1  1  1  1 X^2+X  1 X^2 X^2 X^2+X  0  1 X^2+X  X  1  X  1 X^2+X  0 X^2+X  0  0  0  1  1
 0  1  0  0  1 X+1  1 X^2+1  X X+1  0 X^2  1  1 X+1 X^2+X  X X^2  1 X+1 X^2+X  1 X^2+X+1 X^2 X^2+X+1  X X^2+X  1 X^2+X  1  1  1 X^2+X  1  1 X^2  1 X^2 X^2 X^2+X  1 X^2  1  1  X  0
 0  0  1  1  1  0 X+1 X+1  1 X^2+X  1  0  X X+1 X^2 X^2+X  1  1 X^2+X+1 X^2+X+1 X^2+X+1  X X+1  X  X X^2  1  0  1  0  1 X^2 X^2+X+1 X^2+X+1  0  X  1  1  1  1  1  1  1 X^2+X X^2  0
 0  0  0  X  0 X^2  0 X^2 X^2  0 X^2 X^2+X  X X^2+X X^2+X  X X^2+X X^2+X  X  X X^2 X^2  0 X^2 X^2+X X^2 X^2+X X^2+X X^2 X^2 X^2  X X^2+X  0  0 X^2 X^2+X X^2+X  X  X X^2+X  0 X^2 X^2+X  X  0
 0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 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+65x^40+244x^41+349x^42+448x^43+292x^44+530x^45+426x^46+500x^47+288x^48+288x^49+251x^50+194x^51+80x^52+82x^53+28x^54+8x^55+8x^56+8x^57+2x^58+2x^59+2x^60

The gray image is a linear code over GF(2) with n=184, k=12 and d=80.
This code was found by Heurico 1.16 in 0.489 seconds.