Tomas,
please provide more details on your Intel Core vPro system HW.
I assume you are trying to acces sit over Wired LAN - not Wireless ? and your network assign IP addresses using DHCP?
It may have two LAN interfaces while Intel AMT will work only on Intel® 82579LM one.
There is little chance that you may have MEBx BIOS module in your BIOS while AMT may be disabled in ME FW by OEM (permanently).
Please download full Intel SCS download package from Download Intel® Setup and Configuration Software (Intel® SCS) 11.0 and run SCS discovery tool on your system to capture AMT details into xml file.
Having AMT discovery xml file there will be possibility to tell more about AMT FW settings.
rgds
Dariusz Wittek
Intel EMEA Biz Client Solution Architect
PS. you can also contact me directly