The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  1  0  X  X  1  1 X^2+X  1  X  0  1  1  1  X  1  X X^2  1 X^2  1  1 X^2+X  1  X  0  1 X^2+X  1  1  1  X  1  0  1  1  1
 0  1  0  0  X X^2 X^2+X  1 X+1 X^2+1  1 X^2+1  1  1 X^2  X X^2+X+1  1 X^2  1  1 X^2+X X+1  X  0 X^2  1 X^2 X+1 X^2+X  1 X^2  X  1  1  1 X^2+1  1 X^2 X^2+1  1  1  1  1 X^2+X+1 X^2+1  0
 0  0  1  0  X X^2+1  1 X^2+1  0 X^2+1 X^2 X^2+X+1 X^2+X X+1  1 X+1  X  X  0 X^2+X X+1 X^2+1 X+1 X^2  1 X^2+X  1  1 X^2 X^2+X X^2 X^2+X  1  0  0 X^2+1 X^2+X  1 X+1 X^2  1 X+1 X^2+1  X X^2+X X^2+X  0
 0  0  0  1 X+1  1  X X^2+1 X^2+X X^2+X+1 X^2+X+1 X^2 X+1  X X^2+X+1  1 X^2  1  X X^2+X  0 X^2+X X+1  0  0 X+1 X^2 X^2+1 X^2+1  1 X^2+1  0 X^2 X^2+X+1  X X^2+X+1 X^2+1  1 X^2+X+1  X X^2+X  1  1  0 X^2+1 X^2+X  0
 0  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 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 X^2  0 X^2 X^2  0 X^2 X^2 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+58x^40+314x^41+394x^42+688x^43+696x^44+872x^45+662x^46+982x^47+740x^48+846x^49+551x^50+534x^51+344x^52+236x^53+108x^54+114x^55+15x^56+20x^57+13x^58+2x^59+2x^60

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 1.72 seconds.