In medium bowl, whisk whole eggs for 1-2 minutes until they light and fluffy. Slowly whisk in sugar until completely blended.
Add sweetened condensed milk and vanilla to the egg mixture. Whisk well.
Pour in cold heavy cream and milk and whisk to combine.
Follow instructions on your ice cream freezer to freeze ice cream. Depending on the capacity of your ice cream freezer, you may need to divide mixture into batches for freezing. Be sure to cover the other half with plastic wrap while the first batch is mixing.
When ice cream mixture starts to thicken, add in 12 crushed Oreos and allow mixture to continue freezing.
When ice cream is finished freezing in the ice cream maker, transfer ice cream to storage container and stir in 12 more Oreos that are broken into pieces. Place ice cream in freezer until firm, if desired.