n botany a stolon—also called a runner—is a slender stem that grows horizontally along the ground, giving rise to roots and aerial (vertical) branches at specialized points called nodes. Examples of stolon(runner) plants are strawberries, ginger, mint, etc.

Yes in web it is showing that they are different 

Always remember if in option stolon and runner both written then always choose stolon as the first priority. Although stolon and runner are two different methods of niche expansion. In ncert class 11 it is written that strawberry and grasses spreads to new niche it doesn't clearly says that strawberry is runner like grasses. So always choose stolon if given other as 2nd priority choose it as runner. This question is asked in neet 3 times and interestingly one time they gave the ans as runner but in recent years they gave it's answer as stolon..2 times! So choose stolon Boi...