Unusual Chinese Checkers Jump?
This appears to be the fast-paced or Super Chinese checkers variant described in Wikipedia.

While the standard rules allow hopping over only a single adjacent occupied position at a time (as in checkers), this version of the game allows pieces to catapult over multiple adjacent occupied positions in a line when hopping.
In the fast-paced or Super Chinese checkers variant popular in France, a piece may hop over a non-adjacent piece. A hop consists of jumping over a distant piece (friendly or enemy) to a symmetrical position on the opposite side, in the same line of direction. (For example, if there are two empty positions between the jumping piece and the piece being jumped, the jumping piece lands leaving exactly two empty positions immediately beyond the jumped piece.) As in the standard rules, a jumping move may consist of any number of a chain of hops. (When making a chain of hops, a piece is usually allowed to enter an empty corner, as long as it hops out again before the move is completed.)
Jumping over two or more pieces in a hop is not allowed. Therefore, in this variant even more than in the standard version, it is sometimes strategically important to keep one's pieces bunched in order to prevent a long opposing hop.
An alternative variant allows hops over any symmetrical arrangement, including pairs of pieces, pieces separated by empty positions, and so on.