Running lights turn off after using blinker

Don't know if this problem is specific to tacomas but thought I'd ask the tech wizards on this forum. The problem is occurring on my 1995 tacoma.
I just swapped out my tail light bulbs for LEDs from superbrightleds.com and the red running lights work fine until I use my blinkers. Once my blinkers are activated the running lights shut off and don't turn back on until I step on the brakes. Any ideas? Thanks in advance

 

No clue but are you using an electronic flasher?

 

No, is that something that would stop the turn signals from blinking rapidly since I switched over to LEDs? I was thinking because the LEDs flash so fast without the relay or whatever it is they need to function normally it draws the power away from the running lights

 

I think so. Don’t quote me but I think it’s flasher EP35 or something like that.