The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+35x^40+90x^41+199x^42+336x^43+325x^44+440x^45+499x^46+370x^47+483x^48+406x^49+273x^50+296x^51+159x^52+80x^53+35x^54+18x^55+16x^56+4x^57+16x^58+4x^59+4x^60+4x^61+2x^62+1x^64

The gray image is a linear code over GF(2) with n=188, k=12 and d=80.
This code was found by Heurico 1.16 in 0.575 seconds.