This invention relates to a new and distinct everbearing variety of raspberry plant named ‘PS-06.024-27’. The new variety is primarily adapted to the growing conditions of the central coast of California and is characterized by the following: mid-season primocane production with medium sized fruit of medium red coloration and medium gloss. Fruit is of consistent conic shape, weak adherence of receptacle and is of good flavor. Foliage is strongly concave, medium green possessing weak rugosity and always 3 foliates. Primocanes have a strong waxy coat, medium thorn density and weak to medium anthocyanin coloration.