Still don't get it.
I have a Twitter account but don't use it much.
However as far as I can see a Twitter account is just a bit bucket. It isn't like this forum where a post is visible to all. If you don't retweet a message then it is gone forever.
So to see individual abusive tweets you either have to be already following the tweeter, or following the victim who then retweets the abuse. Or posts the tweet on some other medium for all to see.
Otherwise you are just a voice in an empty room - much like my twitter account.
I am assuming that if you need a twitter account for your business then you can also have someone filter out the crap - or just have a SPAM filter?
If abusive tweets just disappeared with no publicity or reaction then the incentive to make them would surely go away.
Bottom line - don't retweet abuse or tweet that you are getting it. Just report it.