Out of Time

Out of Time is a main story quest in Fallout 4.

Escape from Vault 111
Upon regaining control of your character, open your spouse's pod door by means of the release switch to the right of the pod. Interact with the spouse's body to get their wedding ring and hear your player character vow to find the people who killed them and get Shaun back. None of the other pods can be opened, and interacting with them reveals that everyone else is dead. There is a terminal near the end of the room which reveals that most of the cryogenically suspended residents have died in their pods as a result of asphyxiation due to life support failure. Interestingly, it also reveals that your character was released due to a remote override being issued.

The door to the left in the hallway leads to more cryogenic pods with dead occupants, and another terminal which reveals that they met the same fate as the occupants in the previous chamber. The hallway leads to another door which refuses to open. Head through the right door instead. Go down and to the left, and you will find yourself in a room with a window and a giant roach on the other side of the glass. As you approach, the roach will scurry off. Grab the security baton from the crate directly underneath the window, because you will be needing it. Before heading through the door, take a detour to the right to find a Stimpak and a security terminal. The terminal details the purpose of Vault 111 and the operational protocols of its staff, and the security logs reveal a growing discontent with the Overseer of the vault culminating in a confrontation.

Upon going through the door and going through the hall, you will come across your first Radroach near what looks like some kind of mess hall ahead. Kill it and head into the mess hall. There is another terminal which has a lootable Red Menace holotape. The door to the left leads into the main power room of the Vault, where you will find three more Radroaches. Kill them and head through the door, where you will see a staircase and two more roaches. Kill them, drink from the fountain to the right if you need it, and then go through the door.

The Overseer's office has three stimpaks, a pair of eyeglasses, and your first gun, a 10mm pistol with 50 rounds of ammunition. The open security gate has another 10mm and ammo, and a Cryolator inside a Master-locked case. Don't bother trying to get the latter -- it's meant for later in the game. The Overseer's terminal, in addition to revealing the Overseer's role in what ultimately happened, also has the command to open the evacuation tunnel. Use it and get out. The next tunnel has a total of six Radroaches which it is advisable to use VATS on. After clearing the tunnel and going through the exit door, you will encounter two more Radroaches. After killing them, proceed to the vault door controls and get the Pip-Boy 3000 Mark IV from the skeleton of the dead scientist. Activate the door controls, and head through to the exit chamber. Upon going into the elevator, you will be given one last opportunity to customize your character's appearance and stats before heading out into the wasteland of The Commonwealth.

A Ruined Sanctuary
Upon returning to the surface, the Sole Survivor is shocked upon discovering the state of the world. The trailer right next to you has some medical supplies, and the three yellow crates near the elevator should be looted as well.

Retrace the path the player character took to get to the vault to get back to the ruins of Sanctuary Hills. Codsworth will be near the player character's home. Talk to him in order to get your bearings about just what happened to your world and just how long it's been since you were frozen. Take the easy Persuasion option to get Codsworth to get embarrassingly emotional and hilarious. Codsworth will also give you the Hi Honey! holotape, mentioning that your spouse wanted to give it to you as a surprise before everything happened.

Explore the neighborhood by following Codsworth who is searching for signs of life. This will lead to combat with Bloatflies and radroaches. When two battles are done, Codsworth will suggest the Sole Survivor go to Concord to continue the search for Shaun. It is possible to invite Codsworth to accompany as a companion.

The road to Concord leads south out of Sanctuary Hills across the bridge. On the way, there is a Red Rocket truck stop where a dog can be found that is willing to accompany the Sole Survivor as a companion. If you stick around and explore the Red Rocket, you will have to fight six mole rats before moving on.

Concord
Upon reaching Concord, you will hear the sound of gunfire ahead. Travel toward its source to reach the Museum of Freedom, where three to four Raiders are battling a man on the roof with a laser musket. Kill the raiders, and the man will implore you to grab another laser musket off a dead Minuteman and head inside to take down the raiders and save the settlers inside, which will complete this quest and begin the next quest, When Freedom Calls.