Oracle 21c

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WITH DATA AS (SELECT 1 AS id, TO_DATE('11-01-2022', 'DD-MM-YYYY') dt FROM DUAL UNION ALL
              SELECT 1, TO_DATE('12-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('13-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('15-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('19-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('20-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('01-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('02-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('03-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('04-01-2022', 'DD-MM-YYYY') FROM DUAL UNION ALL
              SELECT 1, TO_DATE('08-01-2022', 'DD-MM-YYYY') FROM DUAL)
SELECT id, MIN(dt), MAX(dt)
  FROM (SELECT id, dt, dt - ROW_NUMBER() OVER(ORDER BY dt) rn
          FROM DATA)
 GROUP BY id, rn
 ORDER BY id, rn

ID	MIN(DT)	MAX(DT)
1	01-JAN-22	04-JAN-22
1	08-JAN-22	08-JAN-22
1	11-JAN-22	13-JAN-22
1	15-JAN-22	15-JAN-22
1	19-JAN-22	20-JAN-22