The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+102x^44+228x^45+342x^46+432x^47+453x^48+430x^49+390x^50+394x^51+339x^52+306x^53+224x^54+156x^55+120x^56+74x^57+67x^58+26x^59+9x^60+2x^61+1x^66

The gray image is a code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.16 in 0.475 seconds.