Weather effects temp gage

[Silverback70]

Hi, I’ve only had my z4 almost a year now and this has been my first winter .
Each time I drive it and the weather is colder than 3 degrees the cars temp gage goes high and eventually the engine management light comes on . Although I’ve only drove for 10 mins an average of 30 mph the engine is not warm . I have replaced both temp sensors on the car and it is still happening . When the weather warms up the temp gage goes back to normal and I have to get the engine light reset. Any ideas why this is happening? Thanks

[Silverback70]

Oh sorry z4. O5 plate 2 ltr