The generator matrix

 1  0  1  1 X^2  1  1  1 X^2+X  1  1  X  1  1  0  1  1  X  1  1  1 X^3+X^2+X X^3+X^2+X  1  1  1 X^3+X^2  1  1  1  1  1 X^3+X^2 X^2+X X^3+X^2  1  1  1  1  1  1 X^2 X^3  1  1  1  1
 0  1  1 X^2+X  1 X^2+X+1 X^2 X^3+1  1 X^3+X X+1  1 X^2 X+1  1 X^3+X^2+X+1 X^3  1  0 X^2+1 X^3  1  1 X^3 X^3 X^3+X^2+1  1 X^3+X X^3+X X^2+X  X X^3+X^2+X+1  1  1  1 X+1 X^3+1 X^3+X^2+1 X^3+1  X X^3+X X^2  1  1 X^2+X+1 X^3+X  0
 0  0  X  0 X^3+X  X X^3+X X^3  0 X^3+X^2+X X^3 X^3+X X^3+X^2+X X^2+X X^3+X^2 X^3+X^2 X^2 X^3+X^2+X X^2+X X^3+X^2+X X^3+X^2  X X^3+X^2 X^3+X  0 X^2 X^3+X^2+X X^3 X^3+X^2+X X^2 X^2 X^2+X X^3  0 X^3+X X^2  0 X^2+X  X X^3+X  X X^2 X^3+X^2+X X^2  0 X^3 X^3
 0  0  0 X^3  0 X^3 X^3 X^3 X^3  0  0 X^3 X^3 X^3  0  0  0 X^3  0  0 X^3  0 X^3  0 X^3 X^3  0  0 X^3 X^3  0  0 X^3  0 X^3 X^3  0 X^3 X^3 X^3  0  0 X^3  0 X^3 X^3 X^3

generates a code of length 47 over Z2[X]/(X^4) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+134x^43+412x^44+868x^45+467x^46+552x^47+472x^48+640x^49+231x^50+166x^51+66x^52+60x^53+12x^54+12x^55+1x^56+1x^62+1x^66

The gray image is a linear code over GF(2) with n=376, k=12 and d=172.
This code was found by Heurico 1.16 in 0.203 seconds.