The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+341x^48+368x^50+288x^52+16x^54+8x^56+1x^64+1x^80

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 0.078 seconds.