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  0  1  0  1  1 X^2  1  1  X  X  1  X  0  1  1  0  1  1  0  1  0  1  1  1
 0  X  0  0  0  0  0 X^2 X^2  X X^2+X  X  X  X X^2+X  X  0 X^2+X X^2  X X^2  X X^2  0  X  X X^2 X^2 X^2+X X^2  X  X X^2+X X^2  X X^2+X  0  X  0  0  0  X X^2 X^2+X X^2 X^2
 0  0  X  0  0 X^2 X^2+X  X  X  X  X  X X^2+X  0  0  0 X^2 X^2 X^2+X  X X^2  0  X  0 X^2+X  X X^2  0  0 X^2+X X^2 X^2+X X^2  0 X^2+X X^2 X^2+X  X  0  0  X X^2  X X^2 X^2 X^2
 0  0  0  X  0 X^2+X X^2+X  X X^2 X^2+X X^2+X  0  0  X  X X^2  X X^2 X^2+X  0 X^2+X  0  0 X^2  X  X  0  X X^2+X X^2+X X^2  X  X X^2+X X^2  0  X X^2+X X^2+X X^2+X  X X^2  X X^2 X^2+X  0
 0  0  0  0  X  X X^2 X^2+X  X X^2+X X^2 X^2  X X^2 X^2+X  X  X X^2 X^2 X^2+X  0 X^2+X  0  0  0  0  X  X X^2 X^2+X  X X^2+X  X  0 X^2+X  0  X  X  0  X  X  X X^2+X  0 X^2  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+129x^40+12x^41+238x^42+88x^43+310x^44+156x^45+288x^46+160x^47+244x^48+84x^49+162x^50+8x^51+87x^52+4x^53+46x^54+21x^56+7x^60+2x^62+1x^72

The gray image is a linear code over GF(2) with n=184, k=11 and d=80.
This code was found by Heurico 1.16 in 0.224 seconds.