Yes. I have run the checker for you and this is the result.
In answer to your question, yes you should be able to get better speeds.
If you have a Homehub 5 can you post the stats from 1-12 by logging onto the Homehub management pages then troubleshooting > helpdesk. http://bthomehub.home/
If you have the Smart Hub, (Homehub 6) can you go to hub manager then advanced then technical log and post the stats. http://bthomehub.home/
Is there any noise on your phone line? Dial 17070 and select option 2, there should be no noise between the announcements.
Try connecting to the master socket/ test socket and if your problem is still there it could indicate that there is a line fault before the test socket on BT's side.
When you use the test socket make sure that any telephone extensions you have are "dead". There should be no dial tone at any of your phone extensions. If they have a dial tone it means you have star wiring and that is not good for Infinity and will need to be fixed.
I have merged your other thread because the question is more or less the same as this one.
No you can not get FTTP.
If you check the checker that I carried out on your phone number for you, you should see that it states anything between 50Mbps and 71Mbps
Post the router stats as requested by @gg30340. You may then get more assistance by providing more information