Name the highest roll for coed and authority of state integrated with sacred heart school
CREATE TABLE "timaru_district" (
  "name" text,
  "years" text,
  "gender" text,
  "area" text,
  "authority" text,
  "decile" real,
  "roll" real
);
SELECT MAX("roll") FROM "timaru_district" WHERE "gender"='coed' AND "authority"='state integrated' AND "name"='sacred heart school';