15-20W amplifier circuit
The LM318 has a GBWP of 15 MHz. Since you need 15V/0.2V = 75 times gain you can ideally get 15MHz/75 = 200 kHz bandwidth. For a realistic design for a 250 kHz amplifier that should be at least 500 kHz.

All the voltage gain needs to come from the opamp as those CC stages only provide current gain. Using two TIP41/TIP42 in cascade like that is unusual, normally the first stage would use transistors which can handle less power but have a higher beta.

Circuits with large currents (more than say 0.1 A) will always have issues when made on a breadboard. There will be too much series and contact resistance for the circuit to work properly. Above 0.1 A I recommend soldered connections.

Oh and I consider falstad.com to be for educational purposes only, it is not suited to "design" anything more than really basic.