The generator matrix

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

generates a code of length 49 over Z2[X]/(X^4) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+50x^46+48x^47+90x^48+160x^49+60x^50+48x^51+34x^52+18x^54+2x^60+1x^64

The gray image is a linear code over GF(2) with n=392, k=9 and d=184.
This code was found by Heurico 1.16 in 0.094 seconds.