Can Capital gains tax be paid by the gift reciever?

NO.

This way tax liability cannot be transferred. Only the seller has to comply the liability.

Generally tax liability cannot be transferred but here if your father gets mutual consent of all other beneficiaries and same is duly attested in front of notary public ,then the amount can be invested in capital gains account scheme in notified securities to avail tax concession.

No... your uncle will be liable to pay capital gains tax... in order to avoid capital gains tax, the entire sale consideration or capital gain, as the case may be, invested in the name of your uncle in any bonds, and after the maturity of the same, you can get back your share

@ Akshara
The way you proposed will not help beneficiary to get tax benefits.

The capital gains tax liability is of the seller only. Your uncle can invest upto maximum 50 lakhs in 54EC bonds REC. ( but that is not tax free)

The better way is -----
Before selling the property , your uncle should gift the property by gift deed in respective share of beneficiaries. Register gift deed if required.

Thereafter when property is sold , seller will be all beneficiaries and LTCG will be taxable respectively in individual return of beneficiaries.

In this way, all 9 beneficiaries will be able to take benefit under 54EC -- REC bonds to the extent of 50 lakhs by each beneficiary.

That is TOTAL of 4.5 crore ( Rs 50 lakhs x 9 nieces) deduction under REC bonds.