How to distribute multiple clips on the timeline, by Date and the time of the first one?
In Davinci Resolve, I would solve this problem by creating a multicam clip using Timecode as the method for synchronization and keeping clips organized by camera.  This will create a multicam clip with only a single camera, but each clip spaced out according to its timecode.  If you like, the multicam clip can then be decomposed in place and converted into a compound clip, preserving the spacing between the video clips.  You can then place the single compound clip to start at 7:55 and all the rest of the clips inside the compound clip (or multicam clip if you didn't convert to compound clip) should line up as expected.