The rights organisation said the number of citizens in kidnappers’ captivity is unknown, lamenting the torture, rape and starvation victims suffer.
Amnesty International said 12 people were killed in January at Chibok.
Mr Tinubu also claimed his administration “silently worked” to rescue kidnap victims.
“I call on the Nigerian authorities to investigate this incident promptly, thoroughly and independently.”
Over 112 were killed and 47 were injured as armed herdsmen attacked communities in Plateau.
The human rights organisation called on Mr Tinubu’s government to go beyond verbal condemnation and to investigate thoroughly, ensuring that the perpetrators are brought to justice.
Mr Buhari, Nigeria’s so-called dictator-turned-democrat, superintended a regime accused of perpetrating and condoning gross human rights violations.
Mr Sanusi said the contradictory explanations from the military showed their efforts to sweep the incident under the carpet.
Germany and Tanzania aim to strengthen their relations and address their shared colonial past.