Thanks for your replies.
It appears our maintenance outfit have been using rubbish budget tyres and we are now going to replace the blown one with a top-of-the-range Goodyear. So fingers crossed.
We'll look into and monitor the correct tyre pressures.
There also is a concern that the plastic matting by the gnat on the grass taxi way may also be a contributory factor, we'll have to ask fellow flyers if they have also experienced issues on said matting.