Upgrading 1.2V-24V NE054 Power Supply: Enhancing LM317 Circuit, Replacing TIP127, BDW94, BD250

I have already bought a NE054 with a 24V / 4.2A circular transformer, the main circuits are LM317 with a transistor.

I decided to improve it, I gave it a very large heat sink and when the power supply is working it is only warm to the touch, I changed the diodes, resistors and capacitors to stronger ones.
My problem is that first I changed TIP127 to BDW 94 then gave it up
BD250 (I changed to a stronger one because I had a shortage, i.e. I had 28V after overload)

The power supply worked very well until a 12V drill driver was connected to it (BD250 he also got damaged). I would like to ask you to indicate how I should look for the strongest replacements because I need one in an indifferently large housing as long as it can withstand the treatment, and the other in a TO 220 housing. Or maybe someone already knows, I would like to write it, and I will only check where the base of the emitter and collector is.

I also have a question: if I give the same intensity to a weaker transistor, and then to a stronger transistor, they will emit the same amount of heat or less of a stronger one.
Thank you for any help.
Scheme:

Unfortunately, the trafo has one winding, a quite nice diagram was given by my colleague and I will probably use it in the future, but I would have to modify the power supply a bit. And at the moment my colleague comes to mind some transistors (he refers to the first message)

danio8522 wrote:

The power supply worked very well until the 12V cordless drill was connected to it

I do not know what kind of drill driver you have, but 4.2A may be a bit too little.
Also, think about replacing the transformer. Screwdrivers can pull a dozen A and more.

As far as I know, the I (A) of the collector is a voltage-stepping element (such an executive side). And in my case, the base matters, is it 5A or 0.2A? i understand that this is the part that is controlled by a small current (control circuit sort of) okay i understand it?
tip 127 coll. 5A base 120mA TO 220
bdw 94 coll. Ic 12A Icm 15A base 0.2A TO 220
bd 250 col. 25A peak 40A base 5A TO 247 greater than 220
tip2955 col. 15A base 7A It is 218 smaller than 247 larger than 220
I am looking for one of the to220 type for a stabilizer in a motorcycle so that it does not accidentally shorten bdw 94 as I connect a lot of receivers because, for example, it will burn my phone charger or worse, the ignition control computer (knocks what I secured with a diode and it will burn the fuse at 15V) And I am looking for a SECOND transistor to the power supply can be up to 5cm by 5cm (I have a large heat sink) just to withstand because this power supply is a typical workshop, it charges batteries, rechargeable batteries, power ICs and etc. and sometimes I plug in a drill and it can burn 25A bd 250 (maybe the transistor is not able to dissipate heat?) I have an ammeter and during operation the pointer does not exceed 4-5A, at the start of the engine it exceeds the scale, but I doubt that it reaches 40A max. peak
I have the impression that in both cases I have a problem with heat, or at least with transferring it to the cooler (some paste, copper)? What do you think about all of this?
I used the same scheme in both cases

I would like to ask for an answer because I would like to know what you think about it and if I understand the operation of the transistor correctly.

The integrated circuit lm 317 and the transistor bd 250 work properly for me and do not burn.
All you need is a suitable heat sink.