More error code 41 info

Want to say big thanks to all who answered previous 41 question. Here is more info.
Code does not appear with less than 5 mile drive and engine is in high warm area with controller just warm. Farther than that …code 41…and engine is very hot to touch and controller is still mid warm. In essence…engine is getting to hot after 5 or so miles. Flat roads…20 mph. After the 5 miles code only appears when accelerator is depressed.
2005 with 5 hp.