The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+62x^39+115x^40+222x^41+406x^42+490x^43+646x^44+832x^45+888x^46+940x^47+924x^48+784x^49+638x^50+488x^51+324x^52+184x^53+102x^54+62x^55+31x^56+26x^57+12x^58+6x^59+6x^60+2x^62+1x^64

The gray image is a linear code over GF(2) with n=188, k=13 and d=78.
This code was found by Heurico 1.16 in 2.78 seconds.