How do I mass import multiple contract attachments zip files?

Summary:

I have over 30 contract attachment zip files (each has an Attachment.csv). Combining them all into 1 file would results in a 6 GB zip file. I don't believe I can upload that size in the File Import area; hence I programtically separated the files so each zip is < 200 MB.

Question now is how to programatically mass load the zip files into UCM so I can create the import job using REST? I've seen the REST API for uploading into UCM, but the content attribute has a max limit of 10MB I believe. It certainly can't go as high as 200MB.