I assume you are familiar with the circuit of a normal strobe. I suggest that each tube have its own capacitor, mounted close to the tube, as high currents are involved and wiring resistance would make the results miserable. Also the use of separate trigger coils is a good idea to avoid expensive cable to handle the 10kv or so trigger pulse. Use a trigger capacitor for each coil. The inverter can be shared, but put a resistor of a hundred ohms or so in the feed to each capacitor. Hope this helps.