Here I will tell you a method that will decrease the traceability of that account as much as possible.
You create an account with an anonymous VPN provider of your choice.
You have to use a different computer setup to create that Twitter account. Meaning, dont use the same browser that is full of tracking cookies and don’t use the same MAC address on your network card/WiFi adapter because it’s also possible to track you that way. The easiest way for you to use a totally fresh brand new environment to be used only when using that VPN and logged into that twitter account is to download and install Virtual Box. You will create a new Virtual PC instance, you will need a Windows 7 ISO DVD image installer media that you will need to download. You will then install Windows 7 onto Virtual Box, you will change the MAC address of the network adapter within Virtual Box control panel and then you will install the VPN software/OpenVPN and log on to your VPN provider, install chrome and then signup for the twitter account.