LM318 Voltage Follower Self-oscillation and Output Noise
You are using a solderless breadboard, which is not ideal. There are parasitic capacitances of similar order of magnitude to the 5pF capacitor.
If you increase the 5pF to 10 or 15pF it will probably stabilize it, but of course on a PCB it will behave a bit differently.
You should have the 100nF bypass capacitor directly from pins 4 to 7 (power supply) close to the chip. I don't see where your lower &quot;GND&quot; is connected to the upper one, but the capacitor should be much closer.
So, no don't (necessarily) consider a different chip, in fact a higher performance chip might be worse. Consider a better construction method such as a PCB.