One "problem" with your receiver is not how much amplification you have!
There need be something what amplify. Problem is that there are not (enough) signal what amplify after diode. Amplifying only noise is not so good idea. What is reason. Many, but one clear problem over all others is diode you use and how you use it. This is normal silicon diode with very bad characteristic for this purpose. With very extremely low signals it do not work well. (Recifying in the square law region and your available signal level is really very low...after diode you have nothing for amplifier (but only some extremely high signal level station) I do not know your situation but with good simple crystal receiver you can listen on MW many stations specially at night time (MW propagation in night time is better). After this diod ("attenuator") most of available stations signals are far away under noise level imho).
One, but not very good, posibility is small (DC) forward biasing diode if use this kind of diode you have.
In LC circuit you have now several radio sations signal but they do not go to amplifier becouse this diode totally wrong type.
If you can then better is change diode type.
Quote from
http://www.crystal-radio.eu/endiodes.htm"Silicon diodes have the highest voltage drop (about 0.5 Volt) and are for this reason not very useable for crystal receivers.
Unless we use a small DC bias current, which brings the diode already a little bit in conduction.
Germanium diodes have a low voltage drop (about 0.1 - 0.2 Volt) and are often used in crystal receivers.
The properties like voltage drop and reverse current can vary a lot between two germanium diodes of the same type.
In practice we can best test several germanium diodes in our receiver and then choose the best.
The diode resistance RD of germanium diodes is most times rather low, and only useable in crystal receivers with a low Q (low sensitivity and low selectivity).
For high performance receivers, we can better use a suitable schottky diode.
Schottky diodes have a voltage drop of about 0.25 Volt.
The differences in properties between two diodes of the same type are often small.
Schottky diodes with the correct resistance RD are very useable in high quality crystal receivers."
Maybe somebody think... not so big difference 0.2V or 0.6V. But there are many other things also... lot of.
agen: carefully read this:
http://www.crystal-radio.eu/endiodes.htmAfter you solve diode problem you can make better LC circuit IF still need. (need look how to connect antenna to circuit and how take signal out from LC circuit so that not destroy Q (it affects to available signal level and tuning selectivity.) Simple crystal receiver (independent of how much amplify you have becouse signal is under noise level and signal detection is with level what you can get with antenna) need good LC circuit and good antenna.