Are you running original injectors & IP? Sometimes you can tell by looking to see if they have gray paint on them.
This is my guess. The reason why I say this is because when engine is cold, fuel is slightly thicker & may fill in the gaps of an IP that has increased tolerances. When engine warms up, fuel becomes much warmer & metal expands. A worn IP will show its age on a hot day.
These injection systems typically last about 100-125k miles before they need replacement.