Hi,
isolationg the thermocouple is one way.
Isolating the measurement device is another possible solution. I guess it´s powered by line voltage instead of battery.
If working from battery does not solve the problme, then it may be an EMV problem. If this is the case, then you need proper EMV/EMI filtering to the thermocouple.
Usually there is an amplifier (with high gain) with cold juction compensation, make sure it works in a stable region with clean power supply.
Hope this helps
Klaus