The attacker immersed himself among the soldiers at al-Solban base, in al-Arish district, a military official said.
The attack comes eight days after a similar bombing in Aden claimed by the Islamic State jihadist group killed 48 soldiers and wounded 29 others.
Yemeni authorities have for months pressed a campaign against jihadists who remain active in the south and east of the war-torn country.
Isis and its jihadist rival Al-Qaida have taken advantage of a conflict between the government and the Huthi rebels, who control the capital Sanaa, to bolster their presence across much of the south.
The two groups have carried out a spate of attacks in Aden, Yemen’s second city and headquarters of the internationally recognised government whose forces retook the port from the Huthis last year.
But Al-Qaida has distanced itself from the 10 December attack, claiming it tends to avoids “the shedding of any Muslim blood” while focusing on fighting the “Americans and their allies”.
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