The answer was quit simple. I thought the gateway had to point to eth0 which is connected to the internet (this functioned on the windows computers) in my case 192.168.2.10. The solution was putting the gateway at 10.0.0.10 the ip of eth1, and after a network restart I was able to connect to the internet.
My next task building a samba server for my internal network.
With kind regards,