Eutectic high entropy alloys (EHEAs) have shown promising mechanical properties and good castability. However, designing EHEAs is still a challenge because of highly complex chemical compositions and limited multiple phase diagrams. Here, we propose a grouping strategy to design EHEAs efficiently based on the distributions of mixing enthalpies of atom-pairs in multi-principal-component alloys. Following this idea, a new CoCrFeNiTa0.43 EHEA is designed successfully. Moreover, those reported EHEAs are reviewed and show high consistence with the strategy proposed here.