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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+103x^42+324x^44+52x^45+320x^46+168x^47+562x^48+284x^49+574x^50+304x^51+431x^52+172x^53+394x^54+40x^55+179x^56+4x^57+117x^58+36x^60+22x^62+1x^64+6x^66+1x^68+1x^72

The gray image is a code over GF(2) with n=200, k=12 and d=84.
This code was found by Heurico 1.16 in 0.937 seconds.