I'm doing my work here... my new chokes got 1000 turns 24awg and the secondary is 28 awg 1600turns + 500 turns 26awg
the primary i will make taps of 20 turns.
I believe that up to 20 kv per coil will be possible... if anything burn before

Thats because the chokes helps to accumulate energy within the core to be discharged during the collapse generating the high voltages open circuit condition, amps restricted...
Basically if i got 20 turns at the primary and pulse it with 50v there will be 5100 at the secondary and 2500 at each choke....
The electric field strength depends on the wire length at the primary,, in my case 20 turns means 2,4 meters... than the electric field at the transformer is 50/2,4=20,83 v/m and as i said is the electric field at the transformer thus is the same for the secondary, however during pulse off it becomes 166,66 v/m
Thereto If the voltage limit of my switch during pulse off is 600v i can work safely at 400v if everything is fine tuned... so there is a magnification factor of 8 so 2500v*8 = 20k per choke
so there is 100 volts differential and the total impedance of the circuit is around 200 ohms or so... thus max 0,5 amps should be allowed...
the chokes had around 50mh each at air measurement...
I will add than a coil in series for tuning...
I just got a wild idea..
to put the tx5 coil for say connected to the circuit ground not connected to the secondary and than connected to the cell, and than connect the secondary with the primary, so the kick back energy at the primary also goes to the circuit doubling the frequency.. and further enhancing the electric field of the chokes... that where created during the collapse...