The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1 X^2  1  1  X  1  X  1  1  X  1  1  1  X  1  X  1 X^2  1  1
 0  X  0  0  0  X X^2+X  X  0 X^2  X X^2+X  0 X^2  X  X  0 X^2  X  X X^2 X^2 X^2+X  0  0 X^2+X X^2+X X^2  X  X  0  0 X^2+X  X X^2  X X^2 X^2+X  0  X  X X^2 X^2 X^2  0  X
 0  0  X  0  X  X  X X^2  0 X^2 X^2+X X^2+X  X  X X^2 X^2  0 X^2+X  0  X  0  X  0 X^2 X^2+X X^2  X  X  0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X^2 X^2 X^2  X  0 X^2+X  X  X  X X^2+X
 0  0  0  X  X X^2 X^2+X X^2+X  0 X^2+X X^2 X^2+X  X  0  X  0 X^2 X^2+X X^2+X  0  X X^2  X  X X^2+X  0 X^2 X^2+X X^2  X  0 X^2 X^2+X X^2+X  0 X^2 X^2 X^2+X X^2 X^2+X  0  X X^2 X^2+X X^2+X  X
 0  0  0  0 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  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0  0  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 41.

Homogenous weight enumerator: w(x)=1x^0+54x^41+75x^42+116x^43+115x^44+106x^45+161x^46+110x^47+99x^48+70x^49+29x^50+18x^51+18x^52+22x^53+7x^54+10x^55+4x^56+4x^57+2x^59+2x^60+1x^76

The gray image is a linear code over GF(2) with n=184, k=10 and d=82.
This code was found by Heurico 1.16 in 37.1 seconds.