Said mountaineers tested positive in tests carried out by a Nepalese Army medical team, the Himalayan Times reported.
The 14 climbers will once again undergo polymerase chain reaction (PCR) molecular biology testing to verify their status.
A dozen climbers had tested positive for the disease previously.
Nepal issued a record 394 permits for expeditions to climb the mountain so far this year, despite the situation derived from the pandemic.
Over 1,500 people, including 408 climbers, are at the Everest base camp.
Everest was closed to mountaineers last year due to Covid-19, but climbing was resumed this season.
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