We claim the ornamental design of a multi-barrel syringe delivery system, as shown and described.
FIG. 1 is a front perspective view of a multi-barrel syringe delivery system;
FIG. 2 is a rear perspective view of a multi-barrel syringe delivery system;
FIG. 3 is a front elevational view of a multi-barrel syringe delivery system;
FIG. 4 is a rear elevational view of a multi-barrel syringe delivery system;
FIG. 5 is a left-side elevational view of a multi-barrel syringe delivery system, which is identical to the right-side elevational view, except that the plungers are reversed; and,
FIG. 6 is a top plan view of a multi-barrel syringe delivery system, which is a mirror image of the bottom plan view.