From just that screenshot it is impossible to tell what exactly hangs. It might be during hardware probing; the usual "safe mode" and ACPI parameters to start the installation media come to mind. Also, please make sure the checksums of your media (SHA256SUM / MD5SUM) are correct; this is a common problem. In general, Lenovo T4xx laptops are known to work well with Linux; they have unproblematic hardware (Intel chipset / Intel graphics), and lots of Linux developers use them. It is somewhat surprising to hear that this kind of laptop causes problems during hardware probing.