This invention relates to a new and distinct everbearing variety of raspberry plant named ‘PS-9514’. The new variety is primarily adapted to the growing conditions of the central coast of California and is characterized by the following: medium to late primocane production with medium to large sized fruit of medium orange coloration and medium gloss. Fruit is of consistent conic shape, weak adherence of receptacle and is of excellent flavor. Foliage is flat to slightly convex, medium to dark green possessing medium rugosity and always 3 foliates. Primocanes have a weak waxy coat, sparse thorn density and absent anthocyanin coloration.