16mm 3 core as a suggestion.
Assuming a 240V supply, unless all loads within the stables are specifically designed to work at lower voltages (which I very much doubt) the Ib would have to be less than 8.5A to allow a 16mm SWA to provide enough voltage to allow the lighting circuit within the stable to comply with section 525. I would think that with the heaters, the socket circuit and lighting needed this is going to be highly unachievable! Think bigger