Mindius was a Roman Senator of Consular rank.
In 84, Mindius married Salonia Matidia, the niece of future Roman Emperor Trajan, becoming her second husband.
Matidia was previously widowed from her first marriage to suffect consul Lucius Vibius Sabinus, who left Matidia a daughter Vibia Sabina.
Shortly after the birth of Mindia Matidia, Lucius Mindius had died.
In 86 Matidia married the consul Lucius Scribonius Libo Rupilius Frugi Bonus.