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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+59x^42+83x^44+237x^46+70x^48+53x^50+4x^52+3x^54+1x^56+1x^84

The gray image is a linear code over GF(2) with n=184, k=9 and d=84.
This code was found by Heurico 1.16 in 26.9 seconds.