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@Hamatt
Definitely doable, especially for 15 miles. I'm no great climber either and managed the Coast to Coast fixed. The first 80 miles are similar profile to that and I rode 63 GI. Did put a back brake on to make it a bit less painful going down hill. Think my mate was on about 67 GI and also fine. We both had freewhweels, thinking we'd need them but never flipped over. If you're reasonably fit I'd agree with the others on mid 60s and you'll be absolutely fine