In a blender, add the strawberries, sugar, lemon juice, and salt
Purée all and add more sugar if you need to
In a small saucepan, add the heavy cream, sugar, and salt
Over medium-low heat, stir until sugar is dissolved
Remove from heat.
In a small bowl, whisk the egg yolks
Make your custard by taking a ladle-full of the warm cream and adding it to the eggs while whisking constantly (So you don't make scrambled eggs)
Take the cream/yolk mixture and add back into the saucepan with the rest of the cream
Stirring constantly with a spatula, warm it over medium heat until it it coats the back of a the spatula.
It should reach about 170F on a instant-read thermometer
Strain it through a fine-mesh strainer into a clean bowl
Cool it to room temperature
When cool, stir in the purée and put in the fridge for at least 2 hours (better overnight!)
When ready, take it out of the fridge and make it in an ice cream maker according to manufacture's instructions.
Serve immediately or put in freezer to chill.