This map has been produced before (and much better) by others but who cares. This effort was achieved purely via the standard R plot function*. I believe the only departure from predecessor maps has been to order the list by distance and colour-code the line plots to highlight shorter routes (the technique Paul Butler used effectively with his famous Facebook map, also produced in R).

* requiring negotiation around the problem of horizontal lines cutting across the map to join the vertices of ‘great circle’ vectors that cross the International Date Line.