The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+120x^43+283x^44+464x^45+619x^46+654x^47+763x^48+788x^49+827x^50+874x^51+785x^52+700x^53+504x^54+328x^55+216x^56+132x^57+63x^58+18x^59+30x^60+12x^61+3x^62+6x^63+2x^64

The gray image is a code over GF(2) with n=200, k=13 and d=86.
This code was found by Heurico 1.16 in 2.51 seconds.