I also recommend prores as a mastering codec. While technically not lossless, the results are fantastic and efficient (10 minutes of 59.94 SD should be about 10gb at prores HQ).
The mp4 settings listed above by botox1 would also look great for distribution.
I wouldn’t change the bitdepth out of the default. I think the confusion here comes from Adobe. They list total bit depth instead of bit depth per channel (channels being Red, Green, Blue, and Alpha). So with RGB footage at 8bits per channel, you have a total of 24bits. Most software, however, would simply call this 8-bit or 8bpc.
It wouldn’t be a good idea to go with Prores, because making a distribution copy would result in another lossy conversion on top of that.