Without seeing the rest of the circuit, I don't see how the transistor will ever turn on. Before building any circuit, it's best to simulate it with a tool such as LTspice; if the circuit doesn't work in the simulator, it certainly wont work on the bench.
Start small, such as getting a single dekatron to spin, then you can add a second one to count to 60. Once you're at that point, you will probably rethink the details of your circuit based on what you learned and measured from the dekatrons. I have a single A101 that has been spinning 24/7 for more than 10 years now, but it took some tweaking to get it to work reliably.