*cough* Ahem. Hello gentlemen! I believe I am needed here...
Hey Fiddy, remove the diode and swap the position of the spark gap and the tank capacitor. The gap will essentially short the LF side while the HF side is ringing, which prevents RF feedback into the LF stuff. SGTCs will operate fine on AC or DC, no need to introduce a lossy (and capacitive at TC frequencies) rectifier in there. DC resonant coils do exist but gain no improvement over AC coils until you reach the 10kW or so level.
TLS the reason the diode will die is because it appears as a capacitor at TC frequencies because the NP junction can't populate/depopulate fast enough, thus it no longer conducts in one direction above a certain frequency. Also, resonant rise in the tank circuit quickly exceeds the Vbr causing the diode to be overvolted.
Oh, btw, 30kV is a lot easier to set up a SG for than 3kV, tell you that much!
Edit: NO lossy resister bank. NO. haha.