14 blinks on my Panasonic TC-P50S30. Any Ideas?

This video might help. I suspect you WILL see some blown capacitors!

Are you sure its not 7 blinks then a pause and 7 more as according to the service manual the blink codes for a TV like yours only goes to 12

You need to reset it unplug hold power button down and plug it back in

If you need further help, I’m available over the phone at https://www.6ya.com/expert/omar_c87dacfef1e87642

Try this site. https://www.youtube.com/watch?v=iHBIiRxhe0w

Sounds like main digital board fault. 14 blinks denotes that. These blinks [flashes] are fault indication (Error Codes). From the number of blinks occur at one time switch ON, you can get an idea about the faulty circuit section inside it. This will make repair easy. These are called blinking codes. Make sure about the exact number of blinking of the standby/power LED, by switching On & OFF the set, for at least two times. Count it carefully. If you wish to get some details, check the site linked here. It has details about blinking codes, and fault locating procedure, to many popular brand TVs and other devices.
http://electro-medical.blogspot.com/
http://electronicshelponline.blogspot.com/
If blinks continue without any pause, the main board is faulty.
Search the site by type in the "brand name" to your device, in the "Search box at the top right of the display window of the Homepage" to get gathered related posts.

That is a error code and depending (Panasonic?) on model means either power board or another issue---the error codes can sometimes be misleading or too vague to pinpoint to one board.

Note: these (all brands) sets only sell boards, no individual parts.

Not knowing your skill level you may be able to tell me that, the first thing would be to examine the power board for damage or puffed up filter caps---let me know if questions here etc.

Change the fuses or the power suply module.

Check the dish network website or panasonic web,,support,,,,they should have or website of the brand of remote u programing ,,,goodluck

You did a good thing; really!! Keep that TV aside you always.