Thanks for asking this important question and many thanks to S. Béatrice Marianne Ewalds-Kvist for your valuable answer. In fact I was also searching for the same which I got now.
It is called the Emotional Quotient Inventory. A key article may be found here on ResearchGate (see link below). Reuven Bar-On is on ResearchGate himself, so why not try contacting him directly? Or, of course, contact the publishers of the test (see link below)? Note: It is not a "free" test. There may be free options, probably not as strong psychometrically and without as much validity information. But if you are conducting academic research, the publishers may offer a steep discount.
Article The Bar-On Model of Emotional-Social Intelligence