I probably would not raise Z to 200 from 14. Too time consuming and not needed just to remove the probe.
G0 is probably the correct code to lift Z (That’s what I use) but I see that you didn’t have a feed rate specified. F500 is pretty slow, and raising 186mm at 500mm/min takes something over 22 seconds, which is quite a long time for setup.
I lift mine by about 9mm, which is plenty to remove the probe. I also use a relative move for this.
You can optimize a little better with the G92 commands, there doesn’t need to be 2 of them in a row, you can set all 3 axes (G92 X0 Y0 Z14) though I would have set X and Y manually earlier, myself.
I use M400 commands to be sure that the machine has stopped moving before G92 commands. It should be fine with probe moves, but it’s a habit for me to explicitly wait for the machine to stop moving first.
So for me, that might look like this:
G21 ; Set units to millimeters (This is pretty safe to assume that it's already set for me.)
G90 ; Absolute positioning, just in case
G38.2 Z-400.000 F500 ; Probe Z from max Z height, in case it was homed
M400 ; Wait for movement to stop, to be certain
G92 X0.000 Y0.000 Z14.000 ; Set Probe offset to 14mm, thickness of probe
G91 ; relative moves
G0 Z10.000 F500 ; Raise Z to remove probe
G90 ; Absolute positioning again.