The generator matrix

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

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+69x^44+58x^46+32x^47+161x^48+96x^49+214x^50+96x^51+154x^52+32x^53+38x^54+50x^56+10x^58+8x^60+4x^64+1x^92

The gray image is a code over GF(2) with n=200, k=10 and d=88.
This code was found by Heurico 1.16 in 0.13 seconds.