The generator matrix

 1  0  0  1  1  1 X+2  1  1  X  1  2  1  2  1  1  X  X  1  1  2  1  1  0  1 X+2  1  1  X  1  1  1 X+2  1  1  2  X  2  2  2  X  0  0  1  0  1  1  1  1  1
 0  1  0  0  1 X+3  1 X+2 X+3  1  3  1  X  X  X  0  1  X X+1  1  1  X  1  1 X+2  X  3 X+3  2  3 X+3 X+2  1  2  X  1  X  1  1  1  2  1  1  3  1 X+2  2  0  X  3
 0  0  1  1 X+1  0 X+3  1 X+3 X+2  X  3  X  1 X+1 X+2  1  1  X  1  0 X+2  0 X+3 X+1  1 X+1  2  1  1 X+2 X+3  3  2  1 X+1  1 X+1  0 X+2  1  0  2  1 X+1 X+3  1  2  X X+1
 0  0  0  X  X X+2  0 X+2 X+2  0 X+2  2  2  0 X+2  0  0  0 X+2  2  X  X  2  X  0 X+2  2  2 X+2 X+2  0  0  X X+2 X+2 X+2  2  2  0  0 X+2  2 X+2  2  2 X+2 X+2  2  2  2
 0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  0  2  2  2  2  2  2  2  2  0  0  2  0  0  2  2  2  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  0  2  0  2  0  0  0  2  2  2  0  0  2  0  2  0  0  2  2  2  2  0  2  0  2  0  0  0  2  2  0  2  0  2  2  2
 0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  2  2  2  0  0  0  2  2  0  0  0  2  2  0  2  0  0  0  0  2  2  0  0  2  2  2  2  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+144x^42+292x^43+557x^44+652x^45+1109x^46+1348x^47+1510x^48+1764x^49+1659x^50+1876x^51+1541x^52+1332x^53+973x^54+668x^55+423x^56+220x^57+177x^58+40x^59+58x^60+34x^62+6x^64

The gray image is a code over GF(2) with n=200, k=14 and d=84.
This code was found by Heurico 1.16 in 8.98 seconds.