This could be a danchi, or it could be a mansion. The distinction between the two is now very blurry. Danchi were originally created by the government in the 1950's to solve the severe housing shortage in the cities that were filling up with people moving in from the countryside. Danchi could only be rented, not bought, and the blocks tended to be plain concrete.
The private sector responded by creating "mansions", which were often slightly larger apartments (but still tiny) that could be bought or rented. Typically the buildings exteriors were clad in tile.