F-stop controls depth of field. You see the numbers written as whole numbers: 8, 16, 22, etc. but they are really fractions with F=1, so F/8 = 1/8, F/22 = 1/22. You can see that the smaller the fraction, the larger the denominator, and the greater the D/F. The plane of sharp focus is just that: a plane. D/F relates to how much looks sharp in front of and behind the plane of sharp focus.
The plane of sharp focus on your photo, Berrak, is very good, but your D/F is quite shallow. Using a tripod should enable you to choose a smaller F/stop (and therefore a slower shutter speed) which will extend the D/F. Of course, when you are focusing very close, the D/F at any given F/stop is going to be more shallow than if your focus is from a greater distance.
Hope that helps.
Sorry, Eric. It's the teacher in me...