Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
Name the highest roll for coed and authority of state integrated with sacred heart school

### Inputs:
table_name: table, columns: ['Name', 'Years', 'Gender', 'Area', 'Authority', 'Decile', 'Roll']

### Response:
SELECT MAX Roll FROM table WHERE Gender = coed AND Authority = state integrated AND Name = sacred heart school