The Prophet (peace be upon him) was not accustomed to raise his hands in any supplication he made except when praying for rain. He would then raise them high enough so much so that the whiteness of his armpits was visible.
أَنَّ النَّبِيَّ ﷺ كَانَ لاَ يَرْفَعُ يَدَيْهِ فِي شَىْءٍ مِنَ الدُّعَاءِ إِلاَّ فِي الاِسْتِسْقَاءِ فَإِنَّهُ كَانَ يَرْفَعُ يَدَيْهِ حَتَّى يُرَى بَيَاضُ إِبْطَيْهِ