That was just a wild initial guess for L4. My later version LTspice model oscillates and mixes OK, producing an IF output, but it has not been optimised or tuned to any particular IF or FM allocation. There is no point talking circuit values without frequency band and IF specifications.
I don't think we can arbitrarily assign a frequency of 92MHz to L4//C16 which would probably be in the middle of an FM RF band. The value of L4//C16 will also affect the LO resonant frequency. Why was a fixed value for L4 not specified? What is the purpose of L4//C16. What should the frequency and Q of L4//C16 be?
The RF frequency range is country dependent. It will be a VHF block, somewhere in the range between 66MHz and 108MHz.
The IF centre frequency is not specified, I would guess at 10.7MHz, but it could be as low as 5MHz or as high as 22MHz.
The LO range would be offset, probably above, but possibly below, the RF band by the IF centre frequency.
For 10.7MHz with C16=30pF, L4 would need to be 7.4uH.
For 30.MHz with C16=30pF, L4 would need to be about 1uH.
For 92.0MHz with C16=30pF, L4 would need to be 100nH.