The generator matrix

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

generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+62x^41+277x^42+258x^43+531x^44+312x^45+561x^46+358x^47+468x^48+262x^49+387x^50+172x^51+225x^52+60x^53+83x^54+38x^55+23x^56+8x^57+4x^58+6x^59

The gray image is a linear code over GF(2) with n=188, k=12 and d=82.
This code was found by Heurico 1.16 in 0.506 seconds.