The route was reported to us by Jakub Sliacan:

This route is an out and back of the complete Breakheart Trail in Arcadia Management Area in Rhode Island - 10 miles total.

A route done by Bill Briggs in 2000 and possibly never repeated?  Starting at Cataract Lake trailhead and finishing at Brush Creek trailhead, Briggs ascended Peak A through Peak O in the Gore Range. He cut a corner and skipped Peaks I and J.