Start and finish point: hotel Aubí in Sant Antoni de Calonge, simply because I stayed there for one night. https://maps.app.goo.gl/BakqhPHD2dBAvUDPA
But you can start right from Palamós. The first point I chose for the hike: Barraca d'en Dalí https://maps.app.goo.gl/fogjojJanHCwajnV8
This segment is about 7 kilometers. The road is beautiful, easy, mostly along the sea, somewhere between the pines, classic Costa Brava, overall.
Supposedly, the hut was built by the owner of a nearby estate as a token of gratitude to Salvador for his participation in creative gatherings (but no one knows for sure). The little house was locked, we took a photo and moved on.
And I could have gone back, but I wanted ice cream, and specifically from this gelateria in Calella de Palafrugell: https://maps.app.goo.gl/54HhUubqE4f4tKY78
The ice cream was really worth those five kilometers! On the way back I had already entered the hotel's address in Google to take the shortest route, it's 9 km. And the shortest route turned out to be great: not along the highway, but through fields of ripening grain! I saw beautiful birds!
It was 12 km there, 9 back, time in motion 4.5 hours, with stops for ice cream and drinks 5 hours.