tower block 
noun British
A tall modern building containing numerous floors of offices or flats.One is a multi-million-pound tower block featuring flats, offices and restaurants in the heart of the city....
- It will replenish the site with a tower block of flats offices and shops including a new travel and tourist information centre.
- Now in this delightful fable, set in a European city on a sweltering June night, he shows that the 7th floor of a residential tower block can be a source of magic realism.