Blitz 300g of blackberries in a food processor until smooth. Put a fine sieve over a bowl and pass the blackberry purée through, removing and discarding the seeds. Set aside. Once the ice cream custard is cool enough, stir through the blackberry purée. Transfer the mixture to an ice cream machine to churn until set. Alternatively, pour into a small, deep, freezer-safe tray. Leave to set in the freezer for 40 mins. Use a fork to scrape the ice cream from the sides and stir, breaking up any ice crystals. Repeat twice more before returning to the freezer to freeze completely, for about another 1 hr 30 mins.