It sounds like normal overfuelling on start. As you probably know, diesel engines don't have a choke, the injectors increase the fuel delivered to the engine to compensate for a cold engine. When hot, the ECU reduces fuel delivery to normal and the engine will run normally.
Have you coded the new injectors? They require coding to match the ECU.
My 2013 auto D4D DC SR5, prefilter, 3" exhaust and Chip with egt probe, stock SR5 rims with Toyo Open Country AT2 265/65R/17's