the first blue tapes aren't as sticky as the white ones. I am still wearing one from last night actually. They have elastic, and is the case with all diapers with front/back elastic, you can't crank on the tapes too hard. The continuous pull of the elastic will damge the tapes over time. You need to fit the tapes on the 24/7's looser.
If you find you prefer a diaper with tight tapes, switch to a diaper without front/back elastic. Northshore is a good alternative to Confidry if you want to lose the elastic.
You can also try removing the blue tape immediately and just use the white tape. Make sure your diaper is clean, don't let powder or oil onto the panel. Keep your fingers out of contract with the sticky part of the tape or the front where you are taping. (skin oil will transfer on contact) Tapes tend to pop soon after placing - once the adhesive "sets" it sticks better. You might want to "prep" your diapers by placing the tapes before pulling it on like a pull-up. (if you can't manage to pull it up because it's too tight, you are doing the tapes too tight!)