The generator matrix

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

generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+109x^38+40x^39+371x^40+204x^41+664x^42+468x^43+919x^44+844x^45+1053x^46+804x^47+926x^48+452x^49+606x^50+220x^51+300x^52+36x^53+109x^54+4x^55+37x^56+18x^58+5x^60+1x^62+1x^64

The gray image is a linear code over GF(2) with n=184, k=13 and d=76.
This code was found by Heurico 1.16 in 2.81 seconds.