Lamb Chops with Mint Pesto

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8 frenched lamb rib chops (about 2 pounds)

Olive oil, for brushing 

Kosher salt and freshly ground black pepper 

Mint Pesto, recipe follows

Mint Pesto:

2 cups fresh mint leaves

1/4 cup fresh basil leaves, roughly chopped 

1/4 cup walnuts, toasted and cooled 

2 cloves garlic 

1/4 teaspoon crushed red pepper flakes 

3 tablespoons freshly grated Parmesan

1/2 cup extra-virgin olive oil 

1/2 teaspoon kosher salt 

Freshly ground black pepper

2 teaspoons lemon zest