A fuel system for an engine is disclosed. The fuel system may have a pump, a plurality of fuel injectors, and a plurality of fuel accumulators. Each of the plurality of fuel accumulators may be disposed at least partially within a different cylinder head of the engine in fluid communication with an associated fuel injector of the plurality of fuel injectors. Each of the plurality of fuel accumulators may also be in fluid communication with adjacent fuel accumulators of the plurality of fuel accumulators. At least one of the plurality of fuel accumulators may also be in fluid communication with the pump. The fuel system may further have a plurality of flow limiters. Each of the plurality of flow limiters may be disposed between an associated fuel accumulator of the plurality of fuel accumulators and an associated fuel injector of the plurality of fuel injectors.