The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+206x^48+640x^50+160x^52+16x^56+1x^96

The gray image is a code over GF(2) with n=400, k=10 and d=192.
This code was found by Heurico 1.16 in 3.06 seconds.