I remember when the tool kit actually had a full set of tools in it. What does the F30 tool kit consist of? Chimes to call the butler and a nail file to use while waiting for roadside assistance?
You can carry a compact spare ("donut") in the trunk itself, but you'll also need a jack, lug wrench, etc. if you ever want to change it yourself. The E60 compact spare/tools kit fits the E9x but they don't advertise it for our cars. I got my kit from Tischer (vendor here). Many people ditch the RFTs and just take their chances with repair kits and roadside assistance. Search, it's been well discussed here.
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'18 340i xDrive EB/Dakota, 6-speed manual, M-sport
'02 325Cic vert AW/Montana leather, 5-speed manual, premium/removable hardtop
'93 850Ci Oxford Green/Parchment, auto
'71 Buick Riviera, 455 V8 land yacht