The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  0  1 X+2  1  1  1  1  1 X+2  X  1  1  0  1  1  1  1  X X+2  1  1 X+2  1  2  2  1  1  1  X  1  0 X+2  0  0  X  1  X  2  1
 0  1  1  0  1  1 X+1  2  1 X+1  0  1 X+3  1 X+2  1  X  3  X  1  1 X+3 X+1  1  X  X X+1 X+2  1  1 X+2 X+1  1 X+1  1  1 X+2  1  2  2  0  1  1  X  1  X  3  1  1  0
 0  0  X  0  0  0  0  X  X  X  X  X  X  X X+2  0  2  2  X  2 X+2  0 X+2  X X+2  0  2 X+2  0  2 X+2  0  2 X+2 X+2  X  0  0  0 X+2  2  X  2  X  0  X  2  X  0  0
 0  0  0  X  0 X+2  X  X X+2  X  2  2  2  0  0  2 X+2  X X+2  2  X  0  X  2  X  0  2 X+2  X  X  X X+2  0 X+2 X+2  X  X  0  X  0  2  2  0  X X+2  X  X  0  0  0
 0  0  0  0  X  0  X X+2 X+2  2  X X+2  0  X  X X+2  2  X  X  0  X X+2  2  X  X X+2  2  0  0 X+2  2  0 X+2 X+2  0  0  2  0 X+2  X  X  2  X X+2  2  2 X+2  0  X  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  0  0  2  2  0  2  0  2  0  0  0  2  2  2  0  2  2  2  0  0  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  0  0  2  2  0  2  2  0  2  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  0  0  0  0  2  2  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+40x^40+74x^41+165x^42+346x^43+475x^44+710x^45+1076x^46+1238x^47+1471x^48+1698x^49+1739x^50+1818x^51+1586x^52+1226x^53+931x^54+716x^55+468x^56+224x^57+165x^58+98x^59+49x^60+32x^61+16x^62+6x^63+4x^64+4x^65+3x^66+2x^67+2x^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 10.2 seconds.