The generator matrix

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

generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+48x^50+10x^52+5x^56

The gray image is a code over GF(2) with n=400, k=6 and d=200.
This code was found by Heurico 1.16 in 0.063 seconds.