I run a thick 0w30 or a thin 0w40 in my rig depending on what sales are going on. I'm of the seemingly unpopular opinion that Anything other than 0wXX at this point in chemical development is outdated. Running 5/10/15wXX is just... Nonsensical? Second number is viscosity at operating temp. First number is how much it thickens when it gets cold / how little it thins out when it gets hot. I favor the flattest viscosity curve I can get. A 0wXX (i.e. something with a higher viscosity index) will both not thicken as much when it gets cold, and resist thinning out above 100c. Meh.
I also think there's a misconception about oil pressure and too much emphasis on it. Barring extremes, flow tends to be a more important metric than pressure, as pressure can be manipulated viscosity. Sure you can run a 10w60, peg your pressure gauge, and claim pressure is good. But pressure is just a resistance to flow. If you put a thicker fluid in there, certainly it will resist flow more and give an increase in pressure. But, and here's the big "but" I think is missed; Your oil pump has a pressure bypass valve. Stray too thick, that valve opens, and despite higher/"better" pressure, your oil flow rates through the engine are cut down.
Now, with all this said, there's a Goldilocks zone as far as appropriate oil viscosity to run. Too thin, and it'll run through all the holes inside the engine too quickly. Bearing tolerances, bearing width, oil hole flow diameter, lifter bleed off rates, oil control ring design, and oil pump flow need to be calibrated to a given viscosity. There needs to be enough resistance to flow so that oil can make the appropriate loop through the engine. (If this bit isn't clear let me know, I'll expand on it). Likewise, too thick and you won't get enough flow to replenish things like bearings and piston wall coverage between rotations.
Being that temperature plays such a large role in viscosity, whether 15w40 is appropriate really depends on your climate and drive style. If you're somewhere hot and working your rig hard towing or doing something else that would raise oil temperature (and lower viscosity), then yes it's probably appropriate. If not, then I might give it a second glance.
For better or for worse, you'll need to run your OCI out and get some analysis done on it to figure out what's appropriate for you. This fellow here played with some 0w20 and 0w40 in his rig and found that the 0w20 posted better wear numbers than the 40 weight did.
https://www.bobistheoilguy.com/forums/ubbthreads.php/topics/4382069/Thin_or_thick_(TGMO_0W-20/M1_0
Now that's a different engine and the conclusions need to be taken with a grain of salt. But I think it illustrates what I'm trying to say that arbitrary thicker or thinner isn't necessarily better without numbers to back it up. Obligatory YMMV and DYOR