The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  1  1  0  1  1  2  X  1  1 X+2  1  0  1  1  1  1  2  1  1  1  0 X+2  1  1 X+2  1 X+2  1 X+2  X  1  X  1  1  2  1  X  1
 0  1  1  0 X+1  1  X X+3  1 X+2  1  3  0 X+1  1  2 X+3  1  1 X+2  1  1  X  1  3  1 X+3  2  1  X  1  X  1  1  0  0  1  3  1 X+1  1  X X+2  1 X+3  2  0  0  2 X+1
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  2  0  0  X X+2 X+2  X  2  X  2 X+2  0  0  X X+2  X  X X+2 X+2 X+2  0  0  0  2  2  0  2  0  X X+2  X  X  0  X  X  2  X  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  0  2  2  2  0  2  0  2  2  2  2  2  2  0  0  0  2  2  0  2  0  0  2  2  0  0  0  2  2  2  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  0  2  0  0  2  0  2  0  0  0  0  0  2  2  0  2  2  0  0  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  2  0  0  2  0  0  2  2  2  0  2  2  2  0  2  0  0  0  0  0  2  2  0  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  0  0  2  0  0  0  0  2  2  0  2  0  2  2  2  0  2  0  0  0  2  2  2  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  2  2  0  2  2  2  2  2  2  0  2  0  0  2  0  0  0  2  0  2  2  2  2  2  2  0  2  2  2  0  2  0  0
 0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  2  2  0  2  2  2  0  2  2  0  2  0  2  0  2  0  0  0  0  0  2  0  2  2  2  0  2  0  2  2  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+63x^40+74x^41+156x^42+264x^43+522x^44+658x^45+855x^46+1286x^47+1780x^48+1804x^49+1500x^50+1832x^51+1725x^52+1308x^53+895x^54+644x^55+451x^56+234x^57+144x^58+64x^59+56x^60+18x^61+25x^62+6x^63+9x^64+8x^66+1x^68+1x^70

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 10.1 seconds.