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

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+76x^41+153x^42+210x^43+254x^44+258x^45+392x^46+598x^47+740x^48+986x^49+996x^50+850x^51+798x^52+536x^53+406x^54+310x^55+204x^56+160x^57+91x^58+76x^59+44x^60+30x^61+10x^62+4x^63+6x^64+2x^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 3.98 seconds.