This might be a much more grey area as this facebook group wasn’t initially started by Tufts and the participants are parents who unlike students aren’t subjected to the jurisdiction of Tufts’ student regulations/TOS about Tufts administered computer networks or social media/computer accounts.
Tufts might try the tact of using their exclusive right to the “Tufts” name, but I’m wondering(resident lawyers…especially IP lawyers please chime in) if this may be a nonstarter due to fair use.
Not to mention a good way to dig themselves such a deep hole that even Davy Jones’ locker would be several hundred fathoms above them…