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

generates a code of length 50 over Z2[X]/(X^4) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+111x^48+128x^49+116x^50+32x^51+67x^52+32x^53+12x^54+12x^56+1x^68

The gray image is a linear code over GF(2) with n=400, k=9 and d=192.
This code was found by Heurico 1.16 in 0.093 seconds.