The generator matrix

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

generates a code of length 47 over Z2[X]/(X^4) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+88x^45+154x^46+108x^47+61x^48+40x^49+37x^50+12x^51+2x^52+8x^53+1x^66

The gray image is a linear code over GF(2) with n=376, k=9 and d=180.
This code was found by Heurico 1.16 in 0.078 seconds.