The military said in a statement the incidents, first reported by Spiegel Online' involved hazing and abuse, and were particularly troubling given earlier reports of maltreatment of women in another unit at the same training centre.
It said the latest incidents revealed "grave deficits in leadership" at the facility and promised serious consequences.
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"Discharge proceedings have been initiated against seven soldiers and seven additional soldiers will be moved to different postings," a spokesperson for the German defence ministry said.
Spiegel said "sexual-sadist practices" and violent rituals were widespread at the Staufer barracks, and included soldiers being tied down for hours and hosed down with water.
Hans-Peter Bartels, who fields complaints from soldiers for parliament, told the Frankfurter Allgemeine Zeitung newspaper the incidents reflected lingering "macho behaviour that should not be tolerated."
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Bartels' told lawmakers in his annual report this week that the number of reported sexual assaults in the military rose 52 percent to 131 in 2016, but the actual number was likely higher.
"What happened at the training centre is repulsive and despicable," Defence Secretary Ursula von der Leyen told broadcaster ARD on Friday evening. She promised a thorough investigation.
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