First off, set your eggs out until they become room temperature, about 2-3 hours, then in a pot use enought water to completely cover your eggs. Using a candy thermometer, bring your water to 160-165 degrees farenheit, place your eggs in the water for 3 minutes, then remove and allow to cool back to room temperature (all the other eggs you just pasteurized you can put in the frg), once your eggs are room temperature, continue on to make your homemade Mayonnaise.
Using a mixer,beat yolks, salt, mustard, sugar, pepper, and 1 teaspoon lemon juice in a small bowl on medium setting, until very thick and pale yellow.
Add about 1/4 cup oil, drop by drop, beating vigorously .as you add the oil
Beat in 1 teaspoon each lemon juice and hot water.
Add another 1/4 cup oil, a few drops at a time, beating vigorously
Beat in another teaspoon each lemon juice and water.
Add 1/2 cup oil in a very fine steady stream, beating constantly, then mix in remaining lemon juice and water.
slowly beat in remaining oil.
***Note*** If you like, thin mayonnaise with a little additional hot water. Cover and refrigerate until needed. Do not keep longer than 1 week if you did not pasteurize your eggs, 4-6 weeks if using pasteurized eggs.
*** Note***, DO NOT try to rush it or you will come out with a runny mess. The egg yolks allow the oil and vinager/lemon juice (whichever you use) to emulsify, so it MUST be done slowly! DROP BY DROP!