24 meg is hardly large, particularly for video. 24 gig is large, did you mean 24 gig?

The important thing about transferring files with Knoppix is that it is not safe to write to NTFS. So you should write to a FAT formatted device, not an NTFS formatted drive. This presents no problem if you really have 24 meg of data, even a small flash drive should work. If you have 24 gig of data, particularly any one file over the FAT file limit size, then you can't use Knoppix to safely transfer them.

I do my data recovery with Knoppix by transferring files to another computer on a network, and saving them there. Since that other computer is what is actually writing the files, and it can be a Windows box, it can safely write to NTFS just fine. I use Knoppix a an FTP client and install an FTP server on the receiving system, but that is only one of any number of ways to make the transfer.

Obviously you'll need a version of Knoppix that is new enough to know about SATA drives. However, I've been very disappointed with 6.x versions, and I would suggest that you might have less problems with one of the 5.x versions of Koppix.