Walking Outside the City Limits on Shabbat

I live in Bnei Brak and wish to visit a sick person in Beilinson Hospital on Shabbat. I understand that there are more than 2000 amot between Petach Tikva and Bnei Brak, so I would like to ask what I should do?

Indeed, there are more than 2000 amot between Bnei Brak and Petach Tikva. However, since you are going to visit a sick person and fulfill the mitzvah of visiting the sick, there is an option to place an eruv techumin between the two cities, at a distance of 2000 amot from the end of Bnei Brak's city limits, so that your place of rest will be at the location of the eruv, and from there you will have 2000 amot in each direction.
It is important to emphasize that when placing an eruv outside the city of Bnei Brak, this place is considered your place of rest, and according to the opinion of the Rema, you can walk throughout the city, but you cannot leave the city in the opposite direction. In Petach Tikva, you cannot go more than 2000 amot from the place of the eruv, even if your techum ends within the city.
Nevertheless, it is always advisable to check with the organization called "Eravtem" at the number 0722722909. They can also arrange the eruv for you at the required location.

Orach Chaim, Siman 415 and Siman 408