Strain the cream mixture through a fine sieve to remove the lilac flowers, pressing down on the petals to extract as much flavour as possible. Set aside approx. 125ml of the strained mixture and pour the rest into a saucepan with half of the sugar (60g). Set over low heat and bring to just below a simmer, stirring frequently.
While the cream mixture is heating up, prepare the eggs. Place the egg yolks and remaining 60g sugar into a heatproof bowl and beat with an electric whisk until pale and fluffy (the 'ribbon stage'). Add the reserved 125ml of infused cream and stir through to slacken the mixture.
Once the cream/sugar mixture has come to just below a simmer, remove it from the heat and pour it into the egg mixture in a slow, steady stream, stirring all the time.
Pass the mixture through a fine, heatproof sieve back into the saucepan (this will remove any pieces of egg and ensure the custard is smooth). Place the saucepan back over a low heat and stir frequently until the custard thickens. When it's ready, it should coat the back of a spoon— this should take about 10 minutes.
Once the custard is thick, remove the pan from the heat and pour the custard into a heatproof jug. Cover the surface of the custard directly with clingfilm to prevent it from forming a skin. Allow the custard to cool slightly, then place it into the fridge to chill for at least 3-4 hours (preferably overnight).