Search reveals just a "little" on error -36 but it seems to be a I/O disk problem indeed. This indicates that it could be EITHER the source OR the destination disk or a file
Common System Error Messages: What they Mean and What Might Help Resolve the Problem - Apple Support
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Type -36 error (I/O Errors (bummers)
This file is having difficulty while either reading from the drive or writing to the drive. The file
may have been improperly written data to the drive or the hard drive or disk may be damaged.
This is almost always indicative of a media error (hard error on the disk). Sometimes (rarely) it is transient.
Solutions: Try copying the file to another drive. Use a disk recovery software, such as Disk First Aid to examine the disk. You can try rebooting with all extensions off. Once in a while this will allow you to read the data. The file in question should be restored from a backup that was stored on a different disk. Regular backups can reduce the time to recover from this error.
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It occurs to me that it may be a certain file that exists at the 14GB point. If the copy proceeded up to that point successfully, it should be easy enough to identify "the NEXT file in the alphanumeric list" on the source drive and copy it separately for a test.