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  0  1  1  0  X  0 X^2 X^2  X X^2  0  0  0 X^2  X  1  X  X
 0  X  0  0  0  0  0  0  0 X^2+X  X  X  X  0  X X^2+X X^2 X^2+X  0 X^2  X  0  X X^2  X  X X^2+X  0 X^2  X X^2  X  X X^2  X  X X^2  0  X  X  0  0 X^2 X^2+X  X X^2  0
 0  0  X  0  0  0  X X^2+X  X X^2  X X^2+X  0 X^2+X  0 X^2+X X^2+X  X X^2  X X^2 X^2+X X^2 X^2  0  X X^2  0 X^2+X X^2 X^2+X  0 X^2+X X^2+X X^2 X^2  X X^2+X  X X^2+X  0  X  0 X^2+X  0  X  0
 0  0  0  X  0  X  X  X  0 X^2+X X^2  X X^2+X  X X^2+X X^2 X^2  X X^2 X^2 X^2  0  0 X^2 X^2 X^2  X  X  X X^2+X  0  0 X^2  X  0 X^2  X  0  0  X X^2 X^2+X X^2  0  X X^2+X  0
 0  0  0  0  X  X  0  X X^2+X  X  0  X X^2 X^2+X X^2  0 X^2+X  0 X^2+X  0  X X^2+X X^2 X^2  X  X  X  0 X^2 X^2+X  0 X^2+X X^2+X X^2  0  X X^2  0 X^2 X^2+X  X X^2+X  X X^2+X  0  X X^2
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2
 0  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 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+132x^38+4x^39+374x^40+56x^41+629x^42+184x^43+791x^44+492x^45+1138x^46+584x^47+1220x^48+452x^49+780x^50+248x^51+606x^52+20x^53+270x^54+4x^55+130x^56+4x^57+55x^58+11x^60+4x^62+3x^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 3.52 seconds.