Reddit mentions of 300Mbps Wireless N USB VDSL2 Modem Router

Two best routers to replace the stock router you get are;

Cheap:
https://www.amazon.co.uk/TP-Link-Wireless-Support-UK-TD-W9970/dp/B013OXVA6M/ref=sr_1_1?ie=UTF8&qid=1511602663&sr=8-1&keywords=w9970

Less cheap:
https://www.amazon.co.uk/Billion-8800NL-R2-Wireless-Connections/dp/B01EVNR22K/ref=sr_1_1?s=computers&ie=UTF8&qid=1511602711&sr=1-1&keywords=billion+router

The cheaper one should be fine if you're in a city area, the latter is good for rural (slower) connections.

https://www.tp-link.com/us/home-networking/wifi-router/tl-wr841n/ this will work with VDSL modem

but buying only this vdsl router +modem

is cheaper

No problem sorry for late reply it is a TP-Link TD-W9970 https://www.amazon.co.uk/TP-Link-TD-W9970-Wireless-Support-UK/dp/B013OXVA6M/ref=sr_1_1?s=computers&ie=UTF8&qid=1480943291&sr=1-1&keywords=TP-Link+TD-W9970
I was playing last night again with 3 others without any problems, of note though you mentioned above 3 others if they are also using bt homehub's your still gonna have the same problem. They also need to ditch those routers and use something else, two of you try connecting to each other without homehubs and see how you get on. This situation is crap to be honest we shouldnt have to buy new hardware to play together with our friends all the other game's in my game library work fine with friends but the 7daystodie patch team are so slow to get new updates out I lost patience.