The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  1  X  X X^2+X  1 X^2+X  1  0  1 X^2 X^2+X  1 X^2+X X^2  1  1  1 X^2 X^2  1  1  0  1  0  1 X^2 X^2+X  1  0  X  X  1  X  X  1  1
 0  1  0  0  1  X  1  1 X^2 X^2+1  0 X+1  1 X^2+X  1  X  1  X  1  0 X^2  1  X  0  X  1 X^2+X+1  1 X^2+X  1  X X^2+X  X  1  1 X^2+X  1  1  X X^2+X  1  1 X+1  0 X^2  X  0
 0  0  1  0  X  1 X+1  1 X^2+1 X^2 X^2+X X+1  X  1  1 X^2+X  0 X+1 X^2 X^2+X  1 X^2+X+1 X^2  1 X^2+X X^2+X  1 X^2  1 X^2+X+1 X+1 X^2+1  1  1 X^2+X  X  0 X^2+X  X  1  X  X  0  1  1  0  0
 0  0  0  1  X X^2+X X^2  1  1 X+1 X+1 X^2+1 X+1 X^2+X+1 X^2+X X+1 X^2+1 X+1  X  X  1 X^2+X+1  0 X^2  1  0 X^2+X  1  0 X^2  1  X  0 X^2+X+1  X X^2  1 X+1 X^2+1  1  1 X^2+1  X  X X^2+1 X^2+X  1
 0  0  0  0 X^2 X^2  0  0  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 X^2 X^2  0  0  0  0  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  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+40x^40+288x^41+426x^42+610x^43+765x^44+888x^45+681x^46+902x^47+834x^48+816x^49+598x^50+508x^51+367x^52+240x^53+98x^54+88x^55+25x^56+8x^57+4x^58+2x^59+1x^62+2x^63

The gray image is a linear code over GF(2) with n=188, k=13 and d=80.
This code was found by Heurico 1.11 in 0.672 seconds.