The generator matrix

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

generates a code of length 47 over Z2[X]/(X^4) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+25x^48+4x^50+2x^52

The gray image is a linear code over GF(2) with n=376, k=5 and d=192.
This code was found by Heurico 1.16 in 0.031 seconds.