I'm not going to build CM10 anymore, pershoot already published his experimental builds, you can find them (for all Galaxy Tab 10.1 models) here: Droid Basement
Mirror 01: gapps-jb-20120729.zip
Mirror 02: gapps-jb-20120729.zip (thanks to kingofcomedy)
Mirror 03: gapps-jb-20120729.zip
Check this guide: [GUIDE] [HOW-TO] Install Adobe Flash Player on Android 4.1 Jelly Bean
Be aware, it may cause troubles with web surfing, consider this before reporting problems.
CM10 Preview JB 4.1.1 Galaxy Tab 10.1 (thanks to illmatic24)