Most of the island except for the upper charcoal production

King William Island

Arctic Camp

75 shelters, 2 gas mines with 6 wells within the range of 1 heater only. Arctic Lodge must have Zappy Battery #2205 and Radiator. Building an Airship Hangar requires an extra Heater during construction. Unless you want to use all 4 gas mines after building the Airship Hangar reduce the number of Technicians to 720 (45 Shelters, 16 Technicians per Shelter, Total workforce = 806) to disable the need for Coffee and Husky Sleds.

Arctic Plateau on far west

86 shelters, 3 gas mines with 10 wells within the range of 1 heater only. Arctic Lodge must have Zappy Battery #2205 and Radiator. Building an Airship Hangar requires an extra Heater during construction. Unless you want to use all 5 gas mines after building the Airship Hangar reduce the number of Technicians to 720 (45 Shelters, 16 Technicians per Shelter, Total workforce = 806) to disable the need for Coffee and Husky Sleds. 

Arctic Plateau on far east

75 shelters, 3 gas mines with 9 wells within the range of 1 heater only. Arctic Lodge must have Zappy Battery #2205 and Radiator. Building an Airship Hangar requires an extra Heater during construction. Unless you want to use all 4 gas mines after building the Airship Hangar reduce the number of Technicians to 720 (45 Shelters, 16 Technicians per Shelter, Total workforce = 806) to disable the need for Coffee and Husky Sleds.

Arctic Plateau on middle west

75 shelters, 2 gas mines with 7 wells within the range of 1 heater only. Arctic Lodge must have Zappy Battery #2205 and Radiator. Building an Airship Hangar requires an extra Heater during construction. Unless you want to use all 4 gas mines after building Airship Hangar reduce the number of Technicians to 720 (45 Shelters, 16 Technicians per Shelter, Total workforce = 806) to disable the need for Coffee and Husky Sleds.

Arctic Plateau on middle east

On the Anno 1800 wiki, there are 4 layouts that use clipping of Gas Mines to extract as much Gas as possible. I have reproduced those layouts in game and made a stamp out of it. Where needed, I made slight adjustments related to the changed postal mechanics from Empire of the Skies (less but as optimal as possible post office' coverage) as well as added more warehouses which seemed to be lacking in the original layouts. To get full heat everywhere, I'd advise to slot in some Zappy Battery #2205 to extend the range and of course use the Music Box and Gritty Gas Extractor to produce more Gas.

The in-game screenshots added here are the original layouts from the wiki (all credit for the original design goes to them of course). You can use it to determine which Gas Mine needs to build what Gas Pump, as placing down the stamp for some reason doesn't copy over all the Gas Pumps.

The stamps are numbered from west to east, so stamp 1 is for the western most island all the way to the most eastern island which is stamp number 4.

1800 Stamps

arctic

King William Island

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Arctic Camp

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Arctic Plateau on far west

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Arctic Plateau on far east

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Arctic Plateau on middle west

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Arctic Plateau on middle east

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Maximised Clipped Gas Production Stamps