I don't know if I would trust the breaker as more than an on/off switch or not. In general fuses react about 100 times faster than breakers so were it me with that many boxes in parallel I would still do fuses, 1 per - 20% higher than the BMS puts out.
You need fuses on each battery with high AIC breaking ability.
If you choose to do them in groups of three then you need 12 bus bars, 3 shunts, and still 12 fuses. But all of those items can be smaller and the risk of one battery causing the others to dump into it goes way down. I did 12 fuses because I figured 9 in use + 3 spare
According to the manual each 6k uses 140amps so class T for that + 20% = 168amp - you want the JLLN series
https://electricalparts.com/products/littelfuse-jlln175 - $19.95 per fuse + 3 extra = $239.40
And 2awg wire if it will fit the inverters.
Of course the fuse mount blocks there are insane - well they are anywhere - Just realize the class T take a different mount starting after 200amps.
I like these but there are cheaper flavors
If you decide to go with all batteries connected together then you need 4 bus bars, 1 shunt, and still 9 mounts and the fuses to fill them plus spares....
No matter which way you go, mighty tempting to buy raw bar stock and make your own.
You have a max usage of 350amps so the bus bar needs to be able to carry around 450amps to stay with a 30c rise in temp. We know you won't be maxing that out all the time.
If you make them yourself you would get 110 copper in 1/8" x 2" size. Or use this as a comparison for size, you can't trust anything on amazon that I have found, they all either overstate the capacity or are tricky on how they state the metal used.
McMaster-Carr is the complete source for your plant with over 595,000 products. 98% of products ordered ship from stock and deliver same or next day.
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For choosing sizes look at this table
Knowing the ampacity, designers and estimators can get the approximate bus bar size. Ampacity of the bus bar selected must then be verified by checking table 1.
www.copper.org