The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+2x^50+22x^51+3x^52+1x^54+2x^55+1x^58

The gray image is a code over GF(2) with n=200, k=5 and d=100.
This code was found by Heurico 1.16 in 0.041 seconds.