The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  1  1 X+2  0  1  1  2  0  1  1  1  1 X+2  0 X+2 X+2  1 X+2  1  1  1  X  1  1  1  1  0  1  1  1  1  1  1  1  0  2  2  2  1
 0  1  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  1  1 X+3 X+1 X+1  1  1  X  1 X+2  X  1  1  X X+1  1 X+2  3 X+2 X+1  1  X  1  0 X+2  1  X X+2  1  1  1  1 X+2
 0  0  1  0  0  2  1  3  1  X  0 X+1 X+3  1  1 X+3  3 X+3  X  3 X+2 X+1  X  1 X+2 X+3  1 X+2  0  X X+1  X  2 X+2  3  2  X X+2  1  2  1  2  0  1  X X+2 X+1  1  2  2
 0  0  0  1  0  3  1  2  3  0 X+1  X  3  0 X+3 X+3 X+2  3  1 X+3  X  2  X X+1  1  0 X+2 X+3 X+3 X+2  0  1  0  0  X X+3  3  2 X+1  X  2 X+2  1  3  0 X+3  1  X  2  0
 0  0  0  0  1  1  2  3  3 X+1  X  0  3 X+3  X X+3  2  1  X  1  1 X+2 X+2  2  1  2  0 X+1  3  3 X+3  1  1  X X+3  2  2 X+2 X+2  2 X+2  X  X  1 X+1  3  X  2  3  0

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+232x^42+654x^43+1232x^44+1370x^45+2439x^46+2198x^47+3166x^48+3026x^49+4223x^50+2856x^51+3390x^52+2284x^53+2375x^54+1336x^55+1024x^56+460x^57+289x^58+122x^59+46x^60+26x^61+10x^62+2x^63+5x^64+2x^65

The gray image is a code over GF(2) with n=200, k=15 and d=84.
This code was found by Heurico 1.13 in 11.5 seconds.