The generator matrix

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

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+93x^40+234x^41+486x^42+530x^43+816x^44+682x^45+901x^46+696x^47+991x^48+790x^49+782x^50+386x^51+388x^52+206x^53+112x^54+46x^55+11x^56+8x^57+20x^58+4x^59+4x^60+3x^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 1.16 in 2.06 seconds.