The An-26, owned by local airline Africa-1, was carrying cargo and passengers when it crashed on Thursday into a residential area near Kinshasa shortly after take off.
"It is hard to state the exact number of dead at the current moment," said Alexander Turchinovich, the head of the embassy's consulate.
Meanwhile, local media reported that two people - a flight attendant and a flight engineer had survived the tragedy.
Turchinovich confirmed that one of the crew members, a local resident, had survived the plane crash, but that the information about the flight attendant was still being verified.
On Thursday, the Russian foreign minister said that three Russians were killed in the tragedy, naming them as crew commander Valery Barannik, second pilot Sergei Starovoitov and flight engineer Ivan Bondarev.
The ministry added that the aircraft had lost its right-wing propeller while taking off. As the aircraft fell, its wings struck nearby trees, which then broke off, causing a huge fire which subsequently spread to residential buildings in Kinshasa's suburban area.