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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+88x^41+155x^42+178x^43+244x^44+288x^45+427x^46+604x^47+682x^48+920x^49+1036x^50+906x^51+786x^52+562x^53+428x^54+278x^55+164x^56+162x^57+113x^58+76x^59+42x^60+22x^61+17x^62+6x^63+6x^65+1x^80

The gray image is a code over GF(2) with n=200, k=13 and d=82.
This code was found by Heurico 1.16 in 81.1 seconds.