The generator matrix

 1  0  1  1  1  2  1  1  0  0  1  1  1  0  1  1  1  0  1  1  0  1  2  1  1  1  0  1  1  1  X  1  1  2  1  1  1 X+2 X+2  1 X+2  1  1  1 X+2  1  1  2  0  X
 0  1  1  0  1  1  2 X+1  1  1  2 X+3  2  1  3 X+1  2  1 X+1  X  1  0  1  1 X+2 X+3  1 X+1  X  3  1 X+1 X+1  1 X+3  2  1  1  1  2  1  X  1 X+3  1  2  X  X  1  1
 0  0  X  0  0  0  0  2 X+2  X X+2 X+2 X+2  2  0  X X+2  X  0  X  0  2  X X+2 X+2  X  X  2  X  2  0  2  X  2 X+2  0  2  0 X+2  X  0  X  X  2 X+2  0  0  0  2 X+2
 0  0  0  X  0  0  2  2  2  2  0  2  2 X+2  X  X  X X+2 X+2  X  X X+2 X+2 X+2  2  2  X  2 X+2  X  0  X  X  X  X  2  0  2  0  X  X X+2  2  X  X X+2  X X+2  X  0
 0  0  0  0  X X+2 X+2  2  X  0  0 X+2  X  X  X  X  2  0  0 X+2  2 X+2  2  2  2  0 X+2  0 X+2  0 X+2  X  2 X+2  X  2  0  2  X  0  0  X  X  2  2  0  0  X  2 X+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+203x^44+132x^45+394x^46+304x^47+506x^48+336x^49+482x^50+320x^51+436x^52+324x^53+308x^54+112x^55+129x^56+8x^57+52x^58+28x^60+10x^62+8x^64+2x^66+1x^68

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 0.787 seconds.