This is the 9115th most frequent Russian word.
саранска
"Саранска" is not a standalone word in Russian; it appears to be a misspelling or variation of "Саранск," which is the name of a city in Russia.
In this sentence, 'Саранска' is the genitive case of 'Саранск', indicating the relationship of the town to 'недалеко' (near).
Моя бабушка живет недалеко от Саранска.
My grandmother lives near Saransk.
Here, 'Саранска' is used in the genitive case after the preposition 'до' (to), showing movement towards the town.
Мы доехали до Саранска вчера вечером.
We arrived in Saransk last night.
In this instance, 'Саранска' is written in the accusative case, as it is the direct object of the verb 'окружают' (surround).