The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+96x^44+208x^45+395x^46+382x^47+472x^48+352x^49+516x^50+360x^51+374x^52+264x^53+264x^54+138x^55+115x^56+56x^57+38x^58+28x^59+28x^60+2x^62+4x^63+2x^64+1x^70

The gray image is a code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.16 in 0.558 seconds.