The generator matrix

 1  0  0  0  1  1  1  2  1  1  1 X+2  1  X  X  1  2  1  1  2  1  1  1  2  0  1 X+2  0  1  1  1  0  1 X+2  1  X  2  1  1  2  X  1  1  2  1  1  X X+2  0  1
 0  1  0  0  0  1  3  1  2 X+2  3  1 X+3  1  2  X  X  1 X+3  1 X+2  2  1  1  1  0  1  0 X+1  0  X  1  X X+2  3  1  2  1 X+1  1  0 X+2 X+3  1  3  2  1 X+2  2  0
 0  0  1  0  1  1  2  3 X+2  3 X+3 X+3  X  X  1 X+3  1  X  2  X X+1 X+2  3 X+1  3  2  2  1  X  2  2  2  1  1 X+3 X+2  1  0 X+1 X+3 X+2  1  X X+3 X+1  3  2  1  1  0
 0  0  0  1  1  2  1  1  3 X+2 X+3 X+2  0  3  1 X+3  2  1 X+2  0  2  X X+3 X+3  X  2  3 X+3 X+1  X X+3 X+2  3 X+3  0  2  2  3 X+1 X+1  1 X+2  1  3  0  2 X+3  3 X+1  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  2  2  2  2  0  2 X+2 X+2 X+2  X  X X+2 X+2  X X+2  2 X+2 X+2  X  X  X  2 X+2  X  2  2  0  X  X  X  0  2  0 X+2 X+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+42x^42+334x^43+480x^44+974x^45+959x^46+1584x^47+1365x^48+1744x^49+1513x^50+1822x^51+1406x^52+1482x^53+861x^54+876x^55+406x^56+300x^57+109x^58+80x^59+22x^60+12x^61+4x^62+8x^63

The gray image is a code over GF(2) with n=200, k=14 and d=84.
This code was found by Heurico 1.13 in 3.13 seconds.