How to remove an Iphone password without restoring the phone? (Iphone6-IOS 9.3)?

As a favor for a friend who's daughter slipped into a coma earlier this week I agreed to help try and get access to her phone. The family can't get past the six digit password on the Iphone6 (Running IOS 9.3). I tried jail breaking the phone, but unfortunately a 9.3 patch is not out yet. I also tried using gecko toolkit, but that was too outdated. Does anyone know of anything else I can do to open the phone? We can't reset the phone, because it hasn't been backed up to Icloud and we'd lose everything.

I'm not too sure about this but I have been told that nearly every model, someone finds out how to hack themselves passed the lock screen.
Try YouTube, They may have a tutorial on there.
I remember watching a video begore on there, trying to get passed the lock screen except it was an older model but there will most likely be a video for the newer models as well.

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