"incompatible device" when creating a simulator for iOS 9.3 on iPhone 4S

I'm having trouble creating a simulator for iPhone 4S running iOS 9.3 (which I need to do as the app I'm working on is targetting 9.3+).

Specifically, this happens

>>> xcrun simctl create iPhone4S com.apple.CoreSimulator.SimDeviceType.iPhone-4s com.apple.CoreSimulator.SimRuntime.iOS-9-3
2016-09-24 19:18:48.262 simctl[4386:138627] Unsupported FoundationXPCDataHeader version 28770.26988.
An error was encountered processing the command (domain=com.apple.CoreSimulator.SimError, code=161):
Incompatible device

Extra info in case it's helpful:

>>> xcrun simctl list
== Device Types ==
iPhone 4s (com.apple.CoreSimulator.SimDeviceType.iPhone-4s)
iPhone 5 (com.apple.CoreSimulator.SimDeviceType.iPhone-5)
iPhone 5s (com.apple.CoreSimulator.SimDeviceType.iPhone-5s)
iPhone 6 (com.apple.CoreSimulator.SimDeviceType.iPhone-6)
iPhone 6 Plus (com.apple.CoreSimulator.SimDeviceType.iPhone-6-Plus)
iPhone 6s (com.apple.CoreSimulator.SimDeviceType.iPhone-6s)
iPhone 6s Plus (com.apple.CoreSimulator.SimDeviceType.iPhone-6s-Plus)
iPhone 7 (com.apple.CoreSimulator.SimDeviceType.iPhone-7)
iPhone 7 Plus (com.apple.CoreSimulator.SimDeviceType.iPhone-7-Plus)
iPhone SE (com.apple.CoreSimulator.SimDeviceType.iPhone-SE)
iPad 2 (com.apple.CoreSimulator.SimDeviceType.iPad-2)
iPad Retina (com.apple.CoreSimulator.SimDeviceType.iPad-Retina)
iPad Air (com.apple.CoreSimulator.SimDeviceType.iPad-Air)
iPad Air 2 (com.apple.CoreSimulator.SimDeviceType.iPad-Air-2)
iPad Pro (9.7-inch) (com.apple.CoreSimulator.SimDeviceType.iPad-Pro--9-7-inch-)
iPad Pro (12.9-inch) (com.apple.CoreSimulator.SimDeviceType.iPad-Pro)
Apple TV 1080p (com.apple.CoreSimulator.SimDeviceType.Apple-TV-1080p)
Apple Watch - 38mm (com.apple.CoreSimulator.SimDeviceType.Apple-Watch-38mm)
Apple Watch - 42mm (com.apple.CoreSimulator.SimDeviceType.Apple-Watch-42mm)
Apple Watch Series 2 - 38mm (com.apple.CoreSimulator.SimDeviceType.Apple-Watch-Series-2-38mm)
Apple Watch Series 2 - 42mm (com.apple.CoreSimulator.SimDeviceType.Apple-Watch-Series-2-42mm)
== Runtimes ==
iOS 9.3 (9.3 - 13E233) (com.apple.CoreSimulator.SimRuntime.iOS-9-3)
iOS 10.0 (10.0 - 14A345) (com.apple.CoreSimulator.SimRuntime.iOS-10-0)
tvOS 10.0 (10.0 - 14T328) (com.apple.CoreSimulator.SimRuntime.tvOS-10-0)
watchOS 3.0 (3.0 - 14S326) (com.apple.CoreSimulator.SimRuntime.watchOS-3-0)
== Devices ==
-- iOS 9.3 --
-- iOS 10.0 --
-- tvOS 10.0 --
-- watchOS 3.0 --
== Device Pairs ==