You might want to add a "Start-Stop" rung including the necessary Start and Stop input buttons at the beginning to run the timers instead of having to hold the "Start" input.
If you adjust the values of the GEQ and LEQ source on each output rung you can achieve the desired results. For example, to adjust the values, in rung 1, GEQ Source = 10 and LEQ Source =20. Then, in rung 2, GEQ =150 and LEQ Source = 160. Continue increasing the values for the following rungs. The values I have indicated may or may not be exactly what you need, so, experiment with them. You will need to add some more rungs to get a total of 12 outputs.
After all the rungs have sequenced, you need to add a timer to reset or start over the 1st timer. The timer .ACC value for it might be 1800 (12 outputs x 15sec x .1 timer base value).
As I said in my 1st post, the 8 light sequencer was just for ideas, not a full working program that met your needs.