The generator matrix

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

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+23x^38+52x^39+161x^40+156x^41+510x^42+218x^43+965x^44+376x^45+1438x^46+472x^47+1451x^48+336x^49+936x^50+244x^51+442x^52+136x^53+143x^54+36x^55+39x^56+20x^57+18x^58+2x^59+9x^60+4x^62+4x^64

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 2.48 seconds.