It's not really a standard PC "port" if you mean something like "USB", "SATA", "HDMI", "DisplayPort" or anything like that. It looks to me like an SMT connector for PCB to PCB interface application, something like this: SMT10 . Things like that aren't easy to find exact replacements for and often come in large quantities since they're usually sold on reels for automated installation. You might check Digi-Key or electronics hobby stores for a connectors but I'm not sure you'd find a cable that uses one. Sony might sell one for their Starvis sensors system.
That's just a 12-pin connector and could be a proprietary conector made by the company who manufactures the device where the sensor is installed.
There are many Sony Starvis Sensors and they are used on many devices...each device with different connections.
What's the make and model of the device with the Sony Starvis Sensor?