A bit more detail.
The runflat indicator gets triggered by montoring the ABS sensors. Once it detects one wheel at different rotation speed (being flat, or offshape) the computer sets off the bell and dash light. There is a reset button underneath the handbrake.
Can only guess you did a sustained aquaplane where ASC took over and cut the revs. Check your tyre pressures to see if that was part of the issue. If your on runflats you might not have spotted that a tyre was flat (by eyeball). Their thick walls allow the MINI to drive up to 80kms (according to BMW) on a flat.
And how cool is it plowin thu foul weather in the MINI, passing others on the bends like it's a sunny day

? (Almost as good as a Rover on a sunny day

)