I know that is my fault, but what i am asking is :
Am i safe with google authenticator ,or should i just do something else, i normally don't think any better way to protect my account then a google authenticator code that changes every 30 seconds in my phone , or is there something better ?
You should be safe with the Google Authenticator as it's a stand alone application on your phone. However, I highly recommend that you change your Blockchain.info password and on every website where you use this password as well.