Hi, ideal temperatures are linked to ideal pressures. So for GT4 cars you may be focus to keep tires on ideal pressures range, between 26.5 - 27.5 psi for Dry weather or 29.5 - 30.5 psi for wet weather. As Tom Moore has said running over curvs can cause pressures loss when tires are cold or low pressure.
Also closing brake ducts (lowering the number) can help to keep tires temperatures
Hope It will help you.