You can connect your Twitter account to SharedBox to sync your mentions and DMs to Slack. Simply click the Connect new source link at the left hand side of your SharedBox account dashboard and select the Twitter mentions and DMs option.
This will redirect you to Twitter to login to your Twitter account. You will then be redirected back to SharedBox for select your preferred channel to connect the account to. It is that simple, new DMs and mentions will now be sent to the Slack channel.
There is no support for quoted replies at the moment. This will come soon.