The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+64x^40+98x^42+479x^44+776x^46+1789x^48+1836x^50+1761x^52+776x^54+423x^56+98x^58+57x^60+26x^64+7x^68+1x^72

The gray image is a code over GF(2) with n=200, k=13 and d=80.
This code was found by Heurico 1.16 in 2.83 seconds.