The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+60x^40+254x^41+351x^42+476x^43+420x^44+440x^45+351x^46+384x^47+336x^48+320x^49+261x^50+196x^51+102x^52+72x^53+33x^54+32x^55+1x^56+2x^57+4x^58

The gray image is a linear code over GF(2) with n=184, k=12 and d=80.
This code was found by Heurico 1.16 in 0.418 seconds.