The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2  1  1 X^2+X  0  1  1  X  1  1  1 X^2  1  1  X  1  1  1 X^2+X  1  0  1  0 X^2+X  1  X  X  1  1  X  1  X X^2+X
 0  1  1  0  1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1 X^2 X+1  1  0  1  1  1  X  1  1 X^2+X X^2+1  X  1 X^2+X+1  1  1 X^2+X  0  1  1  1  1 X^2+X  1  1  1  0  X X^2+1 X+1 X^2+X  1  1  1
 0  0  X  0  0  0  0  0  0  0 X^2 X^2+X  0 X^2  X  0 X^2+X  X X^2+X X^2+X X^2  X X^2  0  X  0 X^2  X  X X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2  0 X^2+X  X  X  0 X^2  0 X^2+X  X  X  X
 0  0  0  X  0  0  X X^2  0  0  0  0 X^2  X  0  X X^2+X  0 X^2 X^2 X^2+X X^2  X X^2+X X^2+X  X X^2 X^2+X  X X^2  0  0  X X^2+X  0 X^2 X^2+X  X  X  X  0 X^2+X X^2+X X^2 X^2 X^2  0
 0  0  0  0  X  0  0  X X^2+X X^2 X^2+X X^2 X^2+X X^2+X  0 X^2+X X^2  X  X X^2  0  0 X^2+X X^2+X X^2+X  0 X^2+X  X X^2  X  0 X^2+X  0  0 X^2+X X^2+X X^2  X X^2  0 X^2+X X^2+X X^2 X^2+X  0  X  X
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 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+309x^40+92x^41+567x^42+260x^43+1076x^44+440x^45+1124x^46+444x^47+1244x^48+480x^49+1014x^50+252x^51+484x^52+72x^53+188x^54+4x^55+77x^56+4x^57+51x^58+8x^60+1x^64

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 42.8 seconds.