Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Less Severe
Flight Crew Landed As Precaution; Flight Crew Returned To Departure Airport
Aircraft
We departed with First Officer (FO) flying the airplane; and experienced a 'R Pack Off' EICAS on the initial climb out. The Autopilot was engaged; and [First Officer (FO)] continued to fly the plane and operate the radios; as I ran the QRH checklist. The QRH guided us to continue operations normally. Within a few minutes; the 'FWD EQPT OVHT' EICAS illuminated. I ran the QRH procedures; put the EQUIPMENT COOLING selector in STBY; and waited for 5 minutes. The 'FWD EQPT OVHT' once again illuminated. I then put the EQUIPMENT COOLING selector in OVRD; and [FO] noted that the 'No Cooling' warning light also illuminated. We then began to wait the requisite 30 minutes. During the waiting period; both EADI's flickered; and then lost their color display. We also noticed the 'Standby ADI' beginning to fail; indicating a climbing turn. After our eventual course reversal; it indicated a 90 degree bank.Upon climbing through approximately 24;000 feet. (internet records show a maximum altitude of 28;500 ft; so my memory of that may be incorrect); the 'CABIN ALT' EICAS illuminated. We donned the oxygen masks; and observed the cabin altitude and rate. It indicated 11;000 feet.  Shortly thereafter; I heard a loud rushing of air; and the cabin rapidly depressurized to approximately 16;000 feet.  We then [had a situation]; received a clearance to the MEA of 11;000 feet; and promptly descended. At this point of multiple failures; and not knowing how long our instrumentation would remain operative; we decided to proceed to the nearest airport with which we were familiar. We elected to return to [departure airport]; knowing that daylight would still remain; the weather was VFR; the terrain non-mountainous; and we were well within maximum landing weight for that runway.  Sometime after reaching 11;000 feet; the packs were both back to normal operation; and the 'FWD EQPT OVHT' indication had extinguished. We made our approach and landed without incident.
[Report Narrative Contained No Additional Information].
B767 flight crew reported multiple issues; including a rapid depressurization at FL240; and elected to return to departure airport.