The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1 X+2  1  1  0  1  1  0 X+2  1  1  1  1  1  0  1  1 X+2  1  0  1 X+2 X+2  1  1  1  1  1  1  1 X+2  1  1  1  1  X  1  0
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1 X+2  1 X+1  0  1  3 X+1  1  1  0  3 X+2  3  0  1 X+1 X+2  1  3  1 X+1  1  1  0 X+2  0 X+2  2  0 X+1  1  3 X+1  0 X+1  1  0  1
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  2  2  0  2  2  0  2  2  0  2  0  2  2  2  2  0  0  2  0  0  2  0  2  0  0  0  2  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  2  2  2  2  2  2  2  0  0  2  2  0  2  0  2  0  2  2  0  0  0  2  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  2  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  2  0  0  2  0  0  2  0  2  2  2  0  0  2  2  2  2  0  2  0  2  2  0  0  2  2
 0  0  0  0  0  0  2  0  0  0  2  0  2  0  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  0  2  0  2  0  2  2  0  0  0  2  0  2  2  0  0  2  2  2  0  2
 0  0  0  0  0  0  0  2  0  0  0  2  0  2  2  0  0  0  0  2  2  2  0  2  0  2  0  0  2  2  2  0  2  2  0  0  0  0  2  0  2  2  2  0  2  0  2  2  2  0
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  0  2  0  0  0  2  0  2  2  2  2  0  0  0  0  0  0  2  2  0  2  2  2  2  2  0  2  2  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  2  2  0  2  0  2  2  0  2  2  0  0  0  0  2  0  2  0  2  2  0  0  2  2  0  2  2  0  0  2  0  0  0  0  2  2  0  2  0  0  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+159x^40+16x^41+104x^42+176x^43+441x^44+800x^45+384x^46+2016x^47+704x^48+3136x^49+560x^50+3136x^51+679x^52+2016x^53+384x^54+800x^55+412x^56+176x^57+104x^58+16x^59+119x^60+35x^64+9x^68+1x^72

The gray image is a code over GF(2) with n=200, k=14 and d=80.
This code was found by Heurico 1.16 in 10.6 seconds.