When I get duplicate rows, I solve it like this:
You get 43 results on your inner join of table T0 & T1. So far so good.
Now comment out everything related to table T2, T4, & T5 (I've placed the commas at the beginning of the row for easier commenting out) like this
SELECT
--T2.F11,
T3.F15
--,T2.F12
,T3.F16
,T3.F17
,T1.F1
--,T2.F13
,T3.F17
--,T5.F18
--,T5.F19
--,T5.F20
--,T2.F14
,T0.F9
,T1.F10
--,T4.F3
--,T4.F21
--,T4.F22
,T0.F2
,T3.F23
,T0.F3
,T0.F4
,T1.F5
,T1.F6
,T1.F7
,T1.F8
FROM `TABLE0` T0
INNER JOIN `TABLE1` T1 ON T1.F1= T0.F1 and T0.F2 = T1.F2
INNER JOIN `TABLE3` T3 ON T3.F1=T1.F1
--INNER JOIN `TABLE2` T2 ON T2.F24 = T3.F24
--INNER JOIN `TABLE4` T4 ON T4.F3 = T0.F3
--INNER JOIN `TABLE5` as T5 ON T5.F1=T0.F1
WHERE T0.F1 = "010001476713"
ORDER BY T0.F4
I've moved the and T0.F2 = T1.F2 from the where to on in the inner join. When you run this query, do you still get 43 rows, or more? If more, you need to figure out what it is double matching on, and add that to your on statement of it really is a 1-1 relationship, or perhaps group the results if you don't want multiple matches. You may need to comment out your select statement and select all to really figure it out, like this:
SELECT *
/*
--T2.F11,
T3.F15
--,T2.F12
,T3.F16
,T3.F17
,T1.F1
--,T2.F13
,T3.F17
--,T5.F18
--,T5.F19
--,T5.F20
--,T2.F14
,T0.F9
,T1.F10
--,T4.F3
--,T4.F21
--,T4.F22
,T0.F2
,T3.F23
,T0.F3
,T0.F4
,T1.F5
,T1.F6
,T1.F7
,T1.F8
*/
FROM `TABLE0` T0
INNER JOIN `TABLE1` T1 ON T1.F1= T0.F1 and T0.F2 = T1.F2
INNER JOIN `TABLE3` T3 ON T3.F1=T1.F1
--INNER JOIN `TABLE2` T2 ON T2.F24 = T3.F24
--INNER JOIN `TABLE4` T4 ON T4.F3 = T0.F3
--INNER JOIN `TABLE5` as T5 ON T5.F1=T0.F1
WHERE T0.F1 = "010001476713"
ORDER BY T0.F4
Once you figure out what rows are causing the duplication, you either group the results or add an 'and' statement to the on clause to make it a 1-1, and then move on. You then uncomment the parts of the query related to T2 and do the same thing, then T4 and then T5. If you send me the results of the query above, I can help you figure out what your on clause needs to be to keep it from duplicating.