MinervaDB's elite-class Azure SQL Engineers are adept at leveraging Microsoft Azure's advanced features to build distributed, redundant, fault-tolerant, and self-healing database infrastructures. Their expertise ensures that your database system is robust, highly available, and resilient against failures, providing uninterrupted service and data integrity. Here's how they can help in achieving this:

1. Distributed Architecture Design

• Global Distribution: Utilize Azure SQL Database's global distribution capabilities to deploy a distributed database system that ensures data is closer to users, reducing latency and improving performance.
• Data Sharding: Implement data sharding strategies to distribute data across multiple databases or instances, enhancing scalability and performance.

2. Redundancy and High Availability

• Always On Availability Groups: Implement Always On Availability Groups in Azure SQL Database to ensure that there are multiple copies of your data, providing high availability and data protection.
• Zone-Redundant and Geo-Redundant Storage: Utilize Azure's zone-redundant storage (ZRS) and geo-redundant storage (GRS) to ensure that your data remains available even in the event of a data center outage.

3. Fault Tolerance

• Automatic Failover Groups: Configure automatic failover groups to automatically switch over to a secondary replica in case of failure, minimizing downtime and ensuring continuous availability.
• Elastic Pools: Use Azure SQL Database elastic pools to dynamically allocate resources among multiple databases, allowing for efficient resource utilization and maintaining performance during unexpected surges in demand.

4. Self-Healing Mechanisms

• Built-In Monitoring and Alerts: Leverage Azure's built-in monitoring and alerting capabilities to detect issues proactively and trigger automatic repairs or failovers without human intervention.
• Automated Backups and Point-In-Time Restore: Implement automated backups with point-in-time restore capabilities, ensuring that you can quickly recover from data corruption or accidental deletions.

5. Performance and Scalability

• Performance Optimization: Continuously monitor and optimize query performance, indexing strategies, and resource utilization to ensure the database operates at peak efficiency.
• Scalability Planning: Design the infrastructure with scalability in mind, utilizing Azure SQL Database's ability to dynamically scale resources up or down based on workload demands.

6. Security and Compliance

• Advanced Security Configurations: Apply advanced security measures, such as encryption at rest and in transit, Azure Active Directory authentication, and firewall settings to safeguard your data.
• Compliance and Data Governance: Ensure that the database infrastructure adheres to regulatory compliance requirements and data governance policies, leveraging Azure's comprehensive set of compliance certifications.

7. Continuous Improvement and Maintenance

• Routine Maintenance and Updates: Schedule routine maintenance and apply updates to ensure that the database infrastructure benefits from the latest features and security enhancements.
• Disaster Recovery Planning: Develop comprehensive disaster recovery plans, including regular drills and updates, to ensure that the system can quickly recover from catastrophic events.

By engaging MinervaDB's Azure SQL Engineers, organizations can leverage the full spectrum of Azure SQL Database's capabilities to create a database infrastructure that not only meets the current demands of high availability, performance, and security but also anticipates and adapts to future growth and technological advancements.