The generator matrix

 1  0  1  1  1  0  1  1  2  1  0  1  1  1  X  1  X  1  1 X+2  1  1  0  1  1  X  1  1  X  0  1  2  1  1  1  1  2  1 X+2  1  1  1  1  1  X  1  1  2  1  1
 0  1  1  0 X+1  1  0 X+1  1  2  1  1  0 X+3  1 X+2  1  3  X  1  3 X+2  1  X X+3  1  2 X+3  1  1  X  1  2  3  3  0  0 X+3  1 X+2 X+3 X+1  0  3  0  X  3  1  0  0
 0  0  X  0  X  0  X  0  X X+2  X  0  2  X X+2  X  0  2  X  0  X  0  X  2  2 X+2  X  2 X+2  2  2 X+2  X X+2  0 X+2  X  X X+2  2 X+2  X  0  X  X X+2  2 X+2  0  0
 0  0  0  X  X X+2  X  0  0  2 X+2 X+2 X+2  2  2 X+2  X  0  0  2  X  0  X  X  X  X  2 X+2  2  2  0  0  0 X+2  0 X+2  X  2 X+2  2  X  2  2  2  X  0  X  0  0  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  0  2  2  0  0  0  2  2  2  0  0  0  2  2  0  2  0  2  0  2  2  0  0  2  0  0  2  2  0
 0  0  0  0  0  2  0  0  2  2  0  0  2  0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  0  0  2  2  2  2  2  2  2  0  2  0  0  2  2  2  0  0  0  0  0
 0  0  0  0  0  0  2  0  2  2  2  2  0  2  0  0  2  0  2  0  0  2  0  0  2  2  0  0  0  0  0  0  2  2  2  2  0  0  2  0  0  2  2  0  0  2  0  2  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  0  2  0  0  0  0  2  2  0  2  2  0  2  0  2  2  2  2  0  0  0  2  0  2  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+85x^40+8x^41+250x^42+200x^43+558x^44+660x^45+986x^46+1276x^47+1456x^48+1892x^49+1593x^50+1996x^51+1497x^52+1372x^53+874x^54+596x^55+507x^56+164x^57+218x^58+28x^59+110x^60+44x^62+7x^64+3x^66+3x^68

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.