FRANKFURT — In September 2012, the co-chief executives of Deutsche Bank held a news conference here to announce an ambitious plan to make sure that the ethical lapses of the past, which had damaged the bank's reputation and led to huge fines, would never happen again. But less than a month later, one of the executives, Anshu Jain, may have deliberately made incorrect statements to regulators looking into allegations that Deutsche Bank employees were involved in manipulating benchmark interest rates to earn hundreds of millions of dollars in profit, according to findings by Germany's bank supervisory agency. The accusation against Mr. Jain, who resigned in June, was contained in a 37-page draft report sent to Deutsche Bank's management board in May by the agency, the Federal Financial Supervisory Authority, known by its German acronym, BaFin. The report also faulted to varying degrees the conduct of numerous other top executives who are still in their jobs, though none were accused of crimes.