I’m looking for construction feed-back please

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I am hoping to finish building my oven this summer. The project has taken three years so far, I only get one day a week to work on it. I am now building above the actual oven, and am deciding how much concrete I ought put on top. The chimney needs to extend another six feet or so. Please, any advice would be appreciated.

HI Winey,
What style of oven are you building? What do you mostly intend to use it for ? This will influence how much concrete cladding you want over the oven bricks. I used about 4.5 to 5 inches, but that is more than most builders use. 

Dean