Dhaka: The youngsters belong to the country's cricket academy and have excelled in domestic matches over the past year, chief selector Rafiqul Alam said.
"Hopefully some of them would find a place in the main squad," Alam said. "They are talented and have performed well against good opposition." The selectors also recalled four experienced players - Tushar Imran, Rajin Saleh, Enamul Haq and Nafis Iqbal.
Bangladesh have won just one of their 53 Tests so far, losing 47 with five draws.
New Zealand, arrive in Dhaka on October 4 to play three one-day internationals and two Tests.
Bangladesh probables: Mohammad Ashraful, Tamim Iqbal, Zunaed Siddiqui, Shakib Al Hasan, Roqibul Hassan, Abdur Razzak, Mehrab Hossain, Mushfiqur Rahim, Mashrafe Bin Mortaza, Shahadat Hossain, Syed Rasel, Nazmul Hossain, Mahmud Ullah Riyad, Dollar Mahmud, Nafis Iqbal, Rajin Saleh, Tushar Imran, Mahbubul Alam, Enamul Haque, Imrul Kayes, Shamsur Rahman, Sohrawardy Shuvo, Nayeem Islam, Sahagir Hossain