BSOD, Random, New Build, BUGCHECK_STR: 0x124_GenuineIntel

Well looking at the dump files I'm seeing a lot of level 0 cache errors, this was leading me to believe it was a faulty CPU but some are in the 6th and 7th CPU cores so I'm inclined to think differently.

With that said I suggest stress testing all components, however you have said that you can run the dm log collector in safe mode which makes me believe it's software.

Code:

Error         : DCACHEL0_WR_ERR (Proc 7 Bank 1)
  Status      : 0xbf80000000000124
  Address     : 0x000000023c881800
  Misc.       : 0x0000000000000086

Code:

Error         : DCACHEL0_WR_ERR (Proc 6 Bank 1)
  Status      : 0xbf80000000000124
  Address     : 0x000000023c5c7980
  Misc.       : 0x0000000000000086

Stress test your CPU with Prime95

I recommend running Prime95 for around 2 hours

   Warning

As with most stress tests your component's temperature will rapidly increase.
It is advised that you download a temperature monitoring program like HWmonitor
Keep an eye on your temperatures and stop the tests if it starts to overheat

Stress test your graphics card with Furmark

I recommend running it for around 30 minutes

   Warning

Furmark will increase the temperature of your GPU rapidly so keep and eye on your temperatures

Memtest86 will test your RAM

   Information

Run Memtest86 for at least 8 passes so we get enough information to confirm that your RAM isn't failing

Run a Disk Check to scan for errors

   Note

Afterwards go into an Elevated Command Prompt (Run as administrator) and type in sfc /scannow
If it finds errors reboot and run the scan two more times

Run SeaTools to see if your HDD or SSD is failing

Post back the results.

I can't see any software that can cause such issues, we'll move on after the hardware tests.

Can do. Keep in mind though, the DM Log Collector failed in safe mode. I was only able to get the SF Diagnostic Tool to run in safe mode.

I am unable to run Prime95. I can start it no problem, but when I go to start SpeedFan to monitor, the computer freezes, then crashes with stop code 0x000000F4. It does not create a .dmp file in windows as I've tried going back in to retrieve it. Even safe mode crashes when I try to evoke the SpeedFan program. Prior to this though, I have reseated every component in the computer. RAM, CPU, and all cards/cables. I'm really thinking this is the processor at this point.

I've been told about issues with speedfan, try something different like HWmonitor.
As for 0xF4s, normally caused by I/O errors.
Dump files would be useful though.

Ok. I am using HWmonitor now. I like that one better anyways lol. I have attached the crash file although it looks similar to the last ones I uploaded. Let me know what you think. I really appreciate your help in this.

I ended up having five bad processors. All with the same result. Now I'm up and running on the configurations I have. Thank you again very much for your time and help Thedoctor44!!