The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+38x^41+225x^42+260x^43+276x^44+228x^45+239x^46+148x^47+205x^48+108x^49+105x^50+66x^51+76x^52+24x^53+21x^54+20x^55+2x^56+2x^57+2x^58+2x^59

The gray image is a linear code over GF(2) with n=184, k=11 and d=82.
This code was found by Heurico 1.16 in 0.14 seconds.