The column is labeled "Current lead." A lead of R+15 means the Republican candidate is leading by 15 percentage points. In the sentence you quote, it is instead being used to refer to the "partisan lean" of the seat - that is, how much further to the left or right it tends to vote relative to the national popular vote. R+15 in that context means "this district normally votes for the Republican candidate by 15 points, plus or minus whatever the national popular vote margin was."
It should be noted that this is a slight simplification, because:
- Election results are generally not 100% perfectly correlated between different districts, or between the district level and the national level.
- Election results are subject to variations in elasticity - that is, some districts are more responsive to swings in the national popular vote than others.
- Partisan lean has to be approximated based on polling and election results, and this is an inherently noisy and imperfect process.
So on the whole, an "R+15 seat" should simply be understood as "a very Republican-leaning seat." The number 15 is not precise enough to carry a more specific meaning than that.
(The numbers in the leftmost column are indeed congressional districts.)