The calculated distance (air line) between Giv'at Shmuel and Modi‘in Makkabbim Re‘ut is approximately 16 miles respectively 26 kilometers.
By car or train, the actual journey to Modi‘in Makkabbim Re‘ut is certainly longer, as only the direct route (as the crow flies) between Giv'at Shmuel and Modi‘in Makkabbim Re‘ut has been calculated here.
Air line (approximately)
26 kilometers
14 nautical miles