Hezbollah militants in Lebanon fired more than 160 rockets toward Israel in about 2 hours on Wednesday, the most intense barrage since the beginning of the Israel-Hamas war, Israeli officials said.

Many of the projectiles launched into northern Israel were intercepted, the Israel Defense Forces told ABC News. Others fell in open areas, including a number of locations in northern Israel, officials said.

The barrage was in response to an Israeli strike in Lebanon on Tuesday night that killed a top Hezbollah commander, the militants said, adding that it was also "in support of our steadfast Palestinian people in the Gaza Strip."

No injuries or damage were reported, the IDF said.

-ABC News' Joe Simonetti and Kevin Shalvey

Israeli troops shot and killed six Palestinians during a raid on a small village near the city of Jenin in the occupied West Bank on Tuesday amid escalating violence there, according to the Hamas-run Palestinian Ministry of Health.

The Israel Defense Forces said its soldiers killed "four armed terrorists" and injured "additional ones" amid "exchanges of fire" while conducting "counterterror activity" in the Kafr Dan area.

-ABC News' Nasser Atta and Dana Savir

Qatar and Egypt have received a response from Hamas and the Palestinian factions regarding the truce proposal, the Qatari Foreign Ministry said Tuesday.

Hamas and Islamic Jihad said in a statement, "The response prioritizes the interest of our Palestinian people. The need to completely stop the ongoing aggression against Gaza. The Palestinian delegation expressed its readiness to deal positively to reach an agreement to end this war against our people, based on a sense of national responsibility."

A U.S. official familiar with negotiations describes Hamas’ response as not an outright yes or no, but a counter with questions about provisions included in the proposal and some additional demands.

Another official said that while the U.S. is still analyzing Hamas’ response, mediators see the potential to bridge remaining gaps at this point and will coordinate with all parties involved on the next steps -- which will likely include another round of talks.

Israel received the Hamas response from the mediators Tuesday evening, according to a senior Israeli official. In its response, Hamas rejected the outline of the deal for the release of the abductees presented by President Joe Biden, the official said.

-ABC News' Shannon Crawford and Dana Savir

All four hostages rescued from Gaza this weekend have been discharged from hospitals, local officials told ABC News.

The three male hostages -- Almog Meir Jan, 22; Andrei Kozlov,27; and Shlomi Ziv, 41 -- were discharged from Sheba Medical Center on Tuesday, according to the medical center.

Noa Argamani, 26, was transferred to Ichilov Medical Center on Saturday to be with her mother, who is in the hospital, officials said. Argamani was discharged on Tuesday morning, a hospital spokeswoman told ABC News.

-ABC News Jordana Miller and Dana Savir

The four hostages rescued from Gaza this weekend are physically "in less severe condition than we kind of prepared for," said Itai Pessach, head of the medical team at the Sheba Medical Center, where the hostages are being treated.

But the worry is mainly on the long-term psychological impact, as "they underwent continuous, psychological abuse," Pessach told ABC News.

The rescued hostages -- Noa Argamani, 25; Almog Meir Jan, 21; Andrey Kozlov, 27; and Shlomi Ziv, 40 -- were kidnapped by Hamas from the Nova music festival on Oct. 7, according to the Israel Defense Forces. They were all rescued in good condition, the IDF said.

Argamani has been discharged while the three men remain at the hospital. But Argamani will still be receiving medical treatment from the Sheba team for an indefinite period, Pessach said.

"It's a very, very long process of rehabilitation. And we received captives that came back six months ago, and we're just now starting to see the initial post-traumatic response coming up," Pessach said. "They have seen a lot of war-related things that happened and all of that is part of their trauma, and we will need to care for that."

"When you see the eyes and you see, you know, they get silent for a second and you understand that there's a trigger, there's something in their minds, and you see a tear, or they ask to be left alone for a moment or something like that. This is when you really feel, under the surface there’s so much that's waiting for us," Pessach said.

-ABC News' Tom Soufi Burridge, Dana Savir, Omer Manor and Hugo Leenhardt