@Sparks,

I trust the following assists you.

With a stand alone appliance and container, there is a minimum distance of 300mm required between your stove and cylinder. Refer to paragraph 5.2.2.5 and Figure 1 below.

5.2.2.5 Containers shall be located at least 300 mm away from a gas stove (see figure 1) unless
the container is protected from the heat of the stove in an approved manner


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With regards to the distance behind the appliance, it must be at least 50 mm as per paragraph 6.2.5 below. Having said that please take note of the requirements of paragraphs 6.2.8 and 6.2.9. I think these paragraph also answer your question regarding the vertical space above a hob (even if free standing). Basically you need to determine the distance above the hob where the material used will not reach a temperature of 150C where all the burners are burning at full gas flow with no utensils placed on such burners. In general a distance of 1900mm from FFL is the minimum practical as any normal person does not want to bump their head against something when cooking.

"6.2.5 Appliances shall not be installed in small, confined spaces that are poorly ventilated. Gas
burners require an unrestricted supply of fresh air and when a cooking appliance is being built in,
the supply of fresh air for combustion shall not be impeded. Provision shall be made for any
accumulations of unburnt gas to disperse safely, and also for the free escape of products of
combustion. Where gas appliances that require back ventilation are installed against a wall, there
shall be a gap of at least 50 mm between the appliance and the wall."


"6.2.8 Appliances shall be so sited in a room that there is no danger that they could set fire to
furnishings (for example, a gas stove shall not be positioned immediately below a combustible shelf
or in a position where curtains could be near its cooking top)."


"6.2.9 Where combustible or ignitable material near an appliance is liable to attain ignition
temperature or to be exposed to heat damage, provision shall be made to protect such material.

The material can be protected by mounting an insulating non-combustible material between the
appliance and the combustible material so as to provide an air space of width at least 15 mm.
Where built-in kitchen equipment is used, the surfaces of adjacent structures in contact with an
appliance shall be of materials that will not deteriorate at temperatures of up to 150 °C."