The generator matrix

 1  0  0  1  1  1  0  1 X^2  1  1  X X^2+X  1  1  1  X X^2  1  0  1 X^2+X  1 X^2+X  1  1  X  1  1 X^2+X  1  0  1  X X^2+X  1  1  X X^2+X  1  1 X^2+X  1  0  1  1
 0  1  0  0  1 X^2+1  1  X  1  1 X^2+X  1 X^2 X^2+X+1  0 X+1  1  1 X^2+X+1 X^2+X X^2+X  1  X  X X+1 X^2  1  1 X+1  1 X^2+X+1  1  X  1  1 X^2+1 X^2+1  0 X^2 X^2+1 X^2+1  1 X^2+X  1 X^2+1 X^2+1
 0  0  1 X+1 X^2+X+1  0 X+1 X^2+1 X^2+X  1 X^2 X^2+1  1 X^2  1  1 X^2+X  1 X^2+X  1  X X+1 X^2+X+1  1  1  X X^2  X X+1  X X^2  X X^2+1  0 X+1 X^2+1 X^2+X  1  1  0  X X+1 X+1  0  1 X^2+X+1
 0  0  0 X^2  0  0  0  0  0  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 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2
 0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0  0  0  0  0  0 X^2 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+414x^42+458x^44+476x^46+334x^48+216x^50+65x^52+76x^54+5x^56+2x^58+1x^60

The gray image is a linear code over GF(2) with n=184, k=11 and d=84.
This code was found by Heurico 1.16 in 35.8 seconds.