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Yup, this is the route from Sevenoaks to Jevington - I just used my Garmin to get me from London Bridge to Sevenoaks which went via Chiselhurst and was surprisingly pleasant. I plotted it in a hurry and would avoid the A267 from Tonbridge Wells if possible, this wasn't a highlight, but the cuckoo trail from Heathfield was excellent, good tarmac surface through some lovely countryside and almost all downhill to Polegate. We went up the South Downs Way just south of Jevington (going West) and camped in the wood on your right as you go up towards the top of the downs. In the morning we continued West along the SDW (pushing our bikes, but you could ride if MTB or CX) down to Alfriston for breakfast, then rode south to Exceat. From there we picked up a great bike path along to Seaford and then onto the seafront to Newhaven before taking the quieter road to Lewes, which is lovely.
Looks like a great trip. Have you got the route you can link me to?