A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Frank Reed
Date: 2020 May 30, 12:14 -0700
I think you mean you're looking for the time and date of the zero of the Equation of Time, right? You can check with any source that gives the GHA of the Sun and then just look for the time when the GHA has a value that is an exact integer multiple of 15°. That looks like 16:00 UT on June 12:
Clockwork Mapping/ReedNavigation.com Nautical Almanac for June 12, 2020.