Creating a Mesh Network with Dell Powerconnect Switches

I am re-designing a network that currently is configured as a Hub-Spoke. To simplify the network, I drafted an extremely sloppy paint diagram to simplify my question. I do have Visio's but am not comfortable sharing them online.

All Switches are Powerconnect N3000 series.
I have 2 switches in a stack via stacking cable.
3 other switches are in separate buildings. As it stands, each of these three switches connects back to the core stack via LAG.
There LAGs consist of two 1GB interfaces on a distant switch, connecting to the LAG on the Core stack (split between 1/0/X and 2/0/X).
I would like to make this a mesh network, so I would like to connect each of the distant switches to each other so that they can still communicate if a link to the core switch goes down.
For example, Distant SW1 link to Core goes down, I would like packets to take path of SW2 to Core.

I tried to make this as simple as possible for sake of the question. So, I am wondering what needs to be programmed on the switches for this to work. I know STP is enabled by default, but I believe this is a global config. Do I need to do any further configurations, or simply connect the distant switches together and configure the interfaces as Trunks?

Thanks in advance.
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CCtechAsked:
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Don JohnstonInstructorCommented:
You've already got link redundancy with the LAG.

I wouldn't worry about the possible failure of both remote-Core links.

But if you really want to, all you need to do is make certain that you have configured the core to have a lower STP bridge priority than all the other switches  and you'll be set.
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CCtechAuthor Commented:
Thank you Don, I agree that redundancy is already in place per the LAG's. However, the client requested we implement a mesh network.

Can you please give me an example of commands to set a lower STP bridge priority?
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Don JohnstonInstructorCommented:
Assuming that the priorities of the switches haven't been changed, issue the command "spanning-tree priority 16384" on the core.  That will insure the core to be the root bridge which will block the remote switch links.
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CCtechAuthor Commented:
Ok thank you, is it 16384 or 4096?

And do I need to issue any commands on other switches or just the core switch stack?
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Don JohnstonInstructorCommented:
The default priority is 32768. So any value lower than that will work.  28672, 24576, 16384, 8192, 4096, whatever. As long as it's lower than the other switches and is a multiple of 4096, it'll work.

And only on the core.
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CCtechAuthor Commented:
Ok perfect, thanks for the rapid response!
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