Earlier I have also the same problem for my site after so much of research and efforts I found solution from my self and i hope that will also work for you and solve your problem:
Old Trick
Google had changed their policy so the old trick for getting the Google profile image will not work now.
e.g https://plus.google.com/s2/photos/profile/(user_id)?sz=150
New Trick
Get Request:
https://www.googleapis.com/plus/v1/people/115950284...320?fields=image&key={YOUR_API_KEY}
Response :200 OK
{
"image":
{
"url": "https://lh3.googleusercontent.com/-OkM...AANA/ltpH4BFZ2as/photo.jpg?sz=50"
}
}
Where YOUR_API_KEY is your Public API Access key which is generated through Credentials under APIs & Auth from https://console.developers.google.com/
And While creating Public API access key you can choose Referers URL's from which this request should be made but for checking you should try by not adding any URL to it, if it works then go with URL of your site.
You can choose other fields to send with URL which you may need from here.
Happy Coding!!!