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  X  X  X  0  X  1  X  X  X  X  1  1  1  1  1  1  1 X^2  1  X
 0  X  0  0  0  X X^2+X  X  0 X^2 X^2  0  X X^2+X  X X^2+X X^2+X  0 X^2+X X^2+X  0 X^2+X X^2  0  0 X^2 X^2+X X^2+X X^2 X^2+X  X X^2+X X^2 X^2  X X^2 X^2  X  X X^2+X X^2+X  X  0  X  X  X  0
 0  0  X  0  X  X X^2+X  0  0  0 X^2+X X^2+X  X  X X^2  0  X  0 X^2  0  0 X^2  X  X X^2  X  X X^2+X  X  0 X^2 X^2  X  0 X^2  X  X X^2+X  0  X  X X^2+X  X X^2  0 X^2+X  0
 0  0  0  X  X  0 X^2+X  X X^2 X^2+X  X X^2 X^2  X  X X^2  0 X^2 X^2+X  0 X^2+X X^2+X  X  X  0  0  0 X^2+X  0  0  0  0 X^2  X  X X^2 X^2  X X^2  X  X X^2+X X^2 X^2 X^2+X  X X^2
 0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0
 0  0  0  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0  0
 0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0  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+275x^40+20x^41+116x^42+152x^43+482x^44+492x^45+152x^46+720x^47+371x^48+492x^49+134x^50+152x^51+294x^52+20x^53+94x^54+104x^56+14x^58+8x^60+2x^62+1x^72

The gray image is a linear code over GF(2) with n=188, k=12 and d=80.
This code was found by Heurico 1.16 in 17.5 seconds.