The generator matrix

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

generates a code of length 50 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+15x^48+222x^50+15x^52+2x^66+1x^68

The gray image is a code over GF(2) with n=400, k=8 and d=192.
This code was found by Heurico 1.16 in 0.063 seconds.