Is it permissible to take out a usurious loan to purchase a house for one's family in Turkey?

Borrowing with interest (riba) is absolutely forbidden, and it is not permissible to undertake it except in a case of dire necessity. What has been mentioned does not reach the level of dire necessity. One can search for a permissible means, and whoever gives up something for the sake of Allah, Allah will compensate him with something better. Your intention is good, but you should pursue permissible paths.