Yes, and then some.
The brick surround you see wraps around to the other side, and the basement masonry stand is under this as well. There are 3 stacks, 2 8" and 1 12" masonry exits. The entire stack is then wrapped in 8x12 concrete blocks with a minimum of 16" of air space between the edge and the chimney. The stack sits inside the entire bottom masony base which is 15' x 15', the walls on 2 sides are 8x12 concrete blocks, and then the outer 2 sides are 8 x 12 concrete blocks with a wall of 4" x 8" red bricks (not veneer, full bricks). Inside the 15' x 20' surround, the chimney stacks are in the middle.
This entire stack houses 3 units, which 2 were designed for high heat (the downstairs furnace/fireplace, the coal fired indoor BBQ on the north side) and then this south one was meant to heat as well using a fireback, but my parents never used it just in case the Pope came over...you know the drill...the room so pristine you couldn't fart in it just in case...
The fourth firebox is a true inserted fireplace into masonry. The log holders are brick. The planters are brick. Brick surrounds the external cold air intake. The chimney there is 2 wall 6" stainless, but it is 2' + from any walls until the roof line, to which it is the standard setback.
At the closest point from any spot of flame anywhere in this system, I am 2' from any combustibles. I'm counting the floor, hearth, surrounds, mantles (which are all masonry), ornaments (which save for the clock are all stone),
Truly, this entire set up is masonry. I was not kidding when I mentioned that a) the mason was a long time journeyman bricklayer that worked in refineries at much higher temps and pressures, yet designed this with this experience and the fact that we had tons of brick and b) my father loved fires, but was absolutely terrified of an uncontrolled one. Hence all the masonry and not one exposed single wall stack.
The basement furnace - what we heated the whole house with at one time and is also the base for the 3 main units. There is about 4' of concrete under this as well. Sorry for the mess, but this is the next reno/refirb project.
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The South side the one I modified) stands on top of the right hand side of the basement masonry block. As you see, the center 8 x 16 beam also uses this masonry block as a support.
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The North side (left hand wall of the basement block) is the masonry indoor BBQ - the one that in another thread I was looking for ideas. Again, build like a brick S***house.
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There is no drywall in behind these stacks, and these stacks also hold up a center beam for the roof trusses. The whole stack is crucial for the house.
The chimney stack. The center chimney is the BBQ, the left is the basement, and the right is the new/old fireplace I built. Note the lack of smoke coming from the right side...I burn as clean as I can.
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I also included a shot of the back of the chimney stack from when it was colder last month. Note the lack of melt on the top, and again the lack of thick smoke. In this angle (north looking south or the reverse of the above stack picture), the modified piece is the left hand exit. Also, in this show, the far left exit for the fourth fireplace is visible, in operation, and no major smoke.
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The fourth fireplace, showing the amount of masonry around. This entire piece is ~1984. To the right of the TV are the brick stairs coming into this room, and the brick lower wood rack has the primary box, followed by a secondary area to warm up wood that extends 10' to the left of the bottom wood picture.
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So, sorry for the long post, but it also helped me think through all this yet again. Yes, you are wise to bring up clearances as most people don't think of it. I too have seen installs that are frightening - yellowing paint on the drywall behind as the heat is too great for example. My wife thinks I am nuts as I frequently go out and check the chimneys to make sure they are exhausting properly and not smoking heavily or at all. I also have been taking frequent temperature measurements all around the central stack and fascias while I break in this new box and learn. However, this entire center stack was built to be run simultaneously, as well as being a crucial support structure.
Welcome to 1974 - where if it was worth doing, it was worth overdoing as far as structural supports went.