This is permissible.

sheikh, I lived in Singapore .majority Muslim are follower of shafi madhub. In our masjid,every body pray tarawee. Most of the time 20 and sometimes 8 rakah along with witr. From 21st Ramadan they will start pray tahajjud in congretation Start from 3 am morning along with tarawee 20 rakah start from esha prayer . Is it permissible in shariya congregations in one night?

Taraweeh, Tahajjud and Qiyam-ul-Layl |