Every ST1300 on the planet weep, seeps, or leaks coolant from umpteen hose connections, most of which are concealed under the rubber heat mat in the vee of the cylinder banks and/or behind the radiator. Once seen in the light of day it is a simple job to stop or reduce the leaks by slightly snugging up the OEM hose clamps or replacing them. The O-ring that seals the thermostat housing is also probably leaking. It’s not difficult to set things to right. I’m out riding today but when I get home, I will attach a PDF file with a tutorial on how to remove the radiator and access the thermostat housing if you haven’t already done that.