Date: 202007
Local time of day: 1801-2400
Location: ZZZ.TRACON, US
Aircraft: B767-300 and 300 ER
Operator: Air Carrier
Operating under: Part 121
Flight plan: IFR
Mission: Passenger
Flight phase: Climb
Airspace: Class A ZZZ; Class B ZZZ
ATC / advisory: TRACON ZZZ
Aircraft component: Air Data Computer
Component problem: Malfunctioning
Reporter organization: Air Carrier
Reporter function: Captain; Pilot Flying
Reporter qualification: Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Human factors: Situational Awareness; Time Pressure; Distraction; Other / Unknown
Second reporter function: First Officer; Pilot Not Flying
Anomaly: Aircraft Equipment Problem Critical
Detector: Automation Aircraft Other Automation
When detected: In-flight
Result: Air Traffic Control Provided Assistance; Flight Crew Diverted; Flight Crew Landed As Precaution; Flight Crew Requested ATC Assistance / Clarification; Flight Crew Returned To Departure Airport; Flight Crew Took Evasive Action
Contributing factors: Aircraft
Primary problem: Aircraft

Narrative: EICAS; AIRSPEED DISAGREE and ALTITUDE DISAGREE during climb out. Ran QRH and established reliable instruments and selected alternate on First Officer's airdata and with Maintenance Control and Dispatch concurrence continued. Later on during climb EICAS; RUDDER RATIO and AILERON LOCKOUT. Ran QRH and then developed an (unidentifiable) aerodynamic rumble and elected to return to ZZZ and request priority handling in the interest of safety.


Second narrative: Climbing through 12;600 feet after departing ZZZ the 'IAS DISAGREE' and 'ALT DISAGREE' EICAS messages illuminated. We requested a level off at 15;000 feet from ATC to work through the QRH. The Captain was flying and took over the radios while I got out the QRH and ran through the appropriate checklists. After going through and performing the 'Airspeed Unreliable' checklist within the QRH; we determined that the Captain's side airspeed and altitude indications were the most reliable then the QRH led us to go to 'ALTN' ADC on the FO side. We then asked for a climb to our filed final altitude from ATC and they cleared us to climb to 'FL410'.While climbing through 'FL250' at approximately XA:15Z the 'AILERON LOCKOUT' and 'RUDDER RATIO' EICAS messages illuminated. The captain was flying and took over the radios while I got out the QRH and ran through the appropriate checklists. We then called company dispatch and maintenance on the SATCOM to get guidance on continuing the flight to ZZZ1. Dispatch and Maintenance as well as we the flight crew were in agreement that their were no DDG or ETOPS reasons that prohibited us from continuing to ZZZ1. Continuing our climb; we noticed a vibration/rumble throughout the airfame and in the control column. The Captain disengaged the auto pilot to see if there were any aircraft control problems; there were none. We leveled off at 'FL370' and asked ATC to show that as our final altitude. The unidentified vibration/rumble continued to worsen as airspeed increased. The Captain decreased power to slow our speed to determine if the vibration/rumble would decrease in intensity which it did slightly but was still very abnormal. The decision was made between the crew that we didn't feel safe continuing to ZZZ1 with this new condition. The Captain transferred the controls to me and he contacted company dispatch to inform them of the situation and decision to return to ZZZ as well as ask for a redispatch to ZZZ. I transferred the controls back to the Captain then contacted ZZZ2 ARINC on HF radio; since we were now in oceanic airspace; to request a clearance to return to ZZZ.  We were given a clearance to return directly to ZZZ. As we got closer to ZZZ; we requested a descent. We decided also to run through the 'Airspeed Unreliable' checklist once again to re-verify that the Captain's side data was reliable.After doing this; as per the QRH; we tried engaging the Left Autopilot and it would not engage. The remainder of the flight was flown manually to an ILS approach to runway XL at XXX.The approach and landing was uneventful.We taxied to the assigned parking spot where maintenance met us upon shut down.We debriefed the maintenance guys on what we experienced then we were released from duty.


Synopsis: B767 Captain and First Officer reported multiple air data malfunctions that resulted in a return to the departure airport.