The youngsters belong to the country's cricket academy and have excelled in domestic matches over the past year, chief selector Rafiqul Alam told AFP.
"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 squad includes none of the 13 players who recently defected to the unsanctioned Indian Cricket League (ICL), including several current or former internationals.
The selectors also recalled four experienced players -- Tushar Imran, Rajin Saleh, Enamul Haq and Nafis Iqbal -- who had earlier been dropped from the national team for poor performance, said Alam.
"The team is a combination of young and experienced players. And I think under the changed circumstances this is the best team we have," Alam said.
The Bangladesh Cricket Board last Wednesday banned all 13 ICL signees including ex-captain Habibul Bashar for 10 years, in keeping with the policy of administrators in other countries who regard the ICL as a rebel organisation.
Bashar, 36, who has played in 50 of Bangladesh's 53 Tests, is the country's most successful Test batsman with 3,026 runs.
The 13 players who signed for ICL include the country's most successful bowler Mohammad Rafique, ex-vice captain Shahriar Nafis, Aftab Ahmed, Dhiman Ghosh, Alok Kapali and Farhad Reza.
Alam said the exodus has weakened the national side, but remained confident the newcomers were capable of filling up the gaps.
"I am confident the side will do well against the Kiwis. We may even see some surprises," he said.
Bangladesh have won just one of their 53 Tests so far, losing 47 with five draws.
New Zealand, led by Daniel Vettori, arrive in the Bangladesh capital on October 4 to play three one-day internationals and two Tests.
Bangladesh probables: Tamim Iqbal, Zunaed Siddiqui, Mohammad Ashraful, Roqibul Hassan, Shakib Al Hasan, Mehrab Hossain, Mushfiqur Rahim, Mashrafe Bin Mortaza, Abdur Razzak, Shahadat Hossain, Syed Rasel, Nazmul Hossain, Mahmud Ullah Riyad, Dollar Mahmud, Nafis Iqbal, Rajin Saleh, Tushar Imran, Enamul Haque, Imrul Kayes, Shamsur Rahman, Nayeem Islam, Sohrawardy Shuvo, Mahbubul Alam, Sahagir Hossain.