I got a new turkey gun from my wife and began sighting it in today. Had problems getting a satisfactory pattern though I am new at this. Your help is appreciated.

Gun, Remington 870 express turkey model, 3 inch with factory extra full turkey choke (reportedly .687) and TruGlo Red dot scope. All shots noted below were with 3 inch shells.

It is my understanding that i should be looking for appx 100 pellets in a 10 inch pie at 40 yrds, true? 13 in kill zone if using a turkey target.

I shot at 40 yrds but the pattern was so bad I moved in to 30 yrds.

Winchester Supreme 3 inch, 2 oz, Mag, double X turkey #6 produced 82 holes in a 9 inch paper plate at 30 yrds. Same shell in #4 shot put 72 holes at 30 yrds with 28 and 18 holes in turkey pattern kill zone.

Remington Premier #6 and Federal #4 turkey loads put 75 and 50 holes in the 9 inch paper plate at 30 yrds, both unsatisfactory.

Reminton Nitro #6, 1 7/8 oz, 3 inch put 75 pellets in 9 inch plate.

Then...I borrowed a shell from a friend. It was 7-10 yrs old and was a Winchester Supreme 3 inch #6, 2 oz double x turkey (same as the first one above except this is old ammo and the one above was bought yesterday). This old shells put 126 and 133 holes in the 9 inch plate and I thought these results were great. Pellet disbursement was even and well scattered. The problem is, I can't go to the store and buy these same shells. I can, but as noted, they are not shooting the same as the old ones. Overall, these shells (I don't have any more) by far seemed to shoot best in my gun.

I don't know what to do at this point. Should I try Hevi #6 or just buy another choke or what? While the results with most of the shells were ok at 30 yrds, I was hoping to have 40 yrd range. I do not have that with any of the current stock shells.

Pls advise if you have ideas as to how I can improve this situation, preferably by spending as little "more money" as possible since I just spent a decent amt to get what I thought was a complete pkg.