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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+72x^38+96x^39+200x^40+266x^41+282x^42+422x^43+507x^44+758x^45+1007x^46+1030x^47+972x^48+792x^49+515x^50+410x^51+283x^52+184x^53+157x^54+82x^55+71x^56+46x^57+15x^58+8x^59+13x^60+2x^61+1x^76

The gray image is a linear code over GF(2) with n=188, k=13 and d=76.
This code was found by Heurico 1.16 in 3.43 seconds.