Question

Piligrimage centres on the banks of the river krishna

Answer 1

I know only on tributary of Krishna that is Tunghbadra.
The centre is Navbrindavan.

Answer 2

There are many shrines and temples along the banks of the river Krishna, which arises in Mahabaleshwar in Maharashtra and passes through Karnataka, Telangana and Andhra Pradesh and joins the sea at Hamsaladeevi.

One of the 12 Jyothir-linga temples and two of the 18 Shakthi Peethas are located in Telangana and its border. Besides the Jyothirlinga and Shakthi Peetha at Srisailam, the state has the Alampur Jogulamba Shakthi Peet-ha near the river Krishna.

There are also two Hanuman pilgrimages at Beechpally and Pedda Chintarevula.

These are among five temples in which idols of lord Hanuman were installed by Vyasaraya Theertha, the guru of Madhva Parampara, in a single day. These are also along the banks of the river.

Then there are prominent pilgrimages like Harihara Kshetram at Vadapally in Nalgonda, Dattha Mandiram at Maganur, Ranganayaka Swamy temple at Pebber, Dwadasha Jyothirlinga-layam at Somashila near Kolhapur, Uma Mahesw-ara Temple near Patala-ganga at Mannanur, Sang-ameswara Temple at Kott-hapally, Lakshmi Narasimha Swamy temple at Mattapally and others, along the banks of the river.