If you're looking for a meeting place or a good stop around ½ or halfway between San Francisco and Antioch, you can try Walnut Creek, CA, which is about half an hour northeast of San Francisco, or about half an hour southwest of Antioch.
About ¼ or a fourth of the way, you can stop at Berkeley, CA. This is about 14 minutes northeast of San Francisco.
About ⅓ or a third of the way, you can stop at Orinda, CA. This is about 16 minutes northeast of San Francisco.
About ¾ or three fourths of the way, you can stop at Bay Point, CA. This is about half an hour northeast of San Francisco, or about 14 minutes west of Antioch.
If you drive straight through without stopping at all, the total distance is 45 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 51 minutes.