Hi Jaydog,
Just to give you a few immediate comments, others will no doubt contribute tomorrow.
I expect you realise that the noise graph is far from ideal and that it gets much worse just before 20:40.
Almost certainly there is some electrical plant which starts at that time or, as there are earlier spikes, possibly starts switching much more rapidly then.
Electrical plant could also include loose wiring connectors.
It will be worth experimenting with the modem in the master socket with a short screened RJ11 lead and all DECT phones as far away as possible.
With Routerstats running, you can try eliminating your own equipment by switching electrical circuits off in turn at the consumer unit, except for that one powering the modem.
It would also help if you could get at least one 24 hour period of Routerstats.
N.B. you should not turn your modem on and off too frequently as that can affect the synchronisation speed in some circumstances.
Note also that your connection speed estimate (on a clean line) is around 5,000 Kbps with your attenuation of 48 dB in this calculator.
http://www.kitz.co.uk/adsl/max_speed_calc.phpKind regards,
Walter