The generator matrix

 1  0  0  1  1  1  0  0  1  1 X^2  1  1  X X^2  1 X^2+X  1  1  1  X  1 X^2+X X^2+X  X  1 X^2  1  1  1 X^2+X  1 X^2+X  1  0  X X^2  1 X^2+X X^2+X  0  1  X  0 X^2+X  1
 0  1  0  0  1  1  1  0 X^2 X^2+1  1  0 X^2+1  1  1 X^2+1  1  X  1 X^2+X  0  X X^2  1  1 X^2+X+1  1 X+1 X^2  X X^2+X X+1  1 X+1  X  1 X^2+X  0  1  1  1 X^2+X  1  1  1  0
 0  0  1  1 X^2 X^2+1  1  1  0  0  0 X^2+1 X^2+1  1 X^2+X+1 X^2+X+1 X^2 X^2+X  X X^2+X+1  1 X^2+1  1 X^2+X+1  X X^2+X+1 X^2+X+1  X X^2+X X+1  1 X^2+X  1 X^2  1  0  1 X^2+X+1 X^2+X X+1 X+1  1 X^2 X+1 X^2+X  0
 0  0  0  X  0  X  X X^2+X X^2+X  X X^2+X X^2  0 X^2  X X^2+X X^2  0 X^2  0 X^2+X X^2+X X^2  0  X  0 X^2 X^2  X  X  0 X^2+X  X X^2+X X^2+X  0  X X^2  0 X^2  0  X  X  X 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+86x^41+179x^42+278x^43+232x^44+312x^45+165x^46+172x^47+138x^48+140x^49+100x^50+98x^51+58x^52+52x^53+17x^54+12x^55+3x^56+2x^57+3x^58

The gray image is a linear code over GF(2) with n=184, k=11 and d=82.
This code was found by Heurico 1.11 in 0.062 seconds.