The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+13x^48+96x^50+13x^52+2x^56+2x^60+1x^68

The gray image is a code over GF(2) with n=200, k=7 and d=96.
This code was found by Heurico 1.16 in 0.0422 seconds.