60 miles is the distance between downtown Seattle and the peak of Mt. Rainier. Downtown Tokyo to the peak of Mt. Fuji. The highest and lowest points in the contiguous US are Death Valley and Mt Whitney, only 80 miles apart, yes that's 20 more than 60 but you get the point here.
Even between places at roughly the same elevation, the climate can vary hugely within 60 miles of a coast. And a majority of the population of the US lives within 60 miles of a coast.
San Antonio and Austin are around 80 miles apart and have nearly identical climates. But they are both about the same distance from the coast, which is probably the main driver of climate in TX.
Really? Assuming similar elevation, I'd expect the temperature of two points 60 miles apart on earth to average the same with fairly low standard deviation.
Is there something specific to your geography that leads you to assume the temperature 60 miles away wouldn't "be anywhere close to yours"?
In the San Francisco Bay Area, for example, the temperature commonly varies dramatically between some places which are a quarter mile apart. And one side of a hill can be persistently foggy while the other side is usually sunny.