The generator matrix

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

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+191x^40+522x^42+16x^43+784x^44+188x^45+1202x^46+636x^47+2013x^48+1180x^49+2738x^50+1244x^51+2228x^52+660x^53+1232x^54+148x^55+715x^56+20x^57+402x^58+4x^59+196x^60+46x^62+15x^64+2x^66+1x^80

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 14.7 seconds.