The generator matrix

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

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+103x^40+282x^41+459x^42+442x^43+814x^44+702x^45+993x^46+814x^47+889x^48+670x^49+815x^50+382x^51+358x^52+194x^53+123x^54+82x^55+39x^56+8x^57+10x^58+8x^59+4x^60

The gray image is a linear code over GF(2) with n=188, k=13 and d=80.
This code was found by Heurico 1.16 in 2.28 seconds.