Here is scenario in which Kiwoom wins 56 additional games (82 total) but does not finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
          Hanwha	102	39	3	0.7234	0.0
              KT	82	57	5	0.5899	19.0
          Kiwoom	82	59	3	0.5816	20.0
             KIA	77	62	5	0.5540	24.0
          Doosan	75	64	5	0.5396	26.0
         Samsung	61	79	4	0.4357	40.5
              NC	56	81	7	0.4088	44.0
             SSG	55	84	5	0.3957	46.0
              LG	54	86	4	0.3857	47.5
           Lotte	53	86	5	0.3813	48.0

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
          Hanwha	49	33	2	60	0.598	0.0
              LG	46	37	2	59	0.554	3.5
           Lotte	46	37	3	58	0.554	3.5
             KIA	45	37	3	59	0.549	4.0
             SSG	42	39	3	60	0.519	6.5
              KT	43	40	3	58	0.518	6.5
         Samsung	43	41	1	59	0.512	7.0
              NC	37	40	5	62	0.481	9.5
          Doosan	34	48	3	59	0.415	15.0
          Kiwoom	26	59	3	56	0.306	24.5

The next two tables show, respectively, how many of their remaining games each team wins and ties against each of the other teams in the scenario:

					Scenario Additional Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	0	7	0	3	8	7	7	0	9	41
Hanwha	7	-	8	0	8	6	6	3	8	7	53
KIA	0	0	-	0	2	8	7	9	6	0	32
Kiwoom	6	6	4	-	4	7	7	7	8	7	56
KT	1	0	0	0	-	9	4	8	9	8	39
LG	0	0	0	0	0	-	8	0	0	0	8
Lotte	0	0	0	0	0	0	-	7	0	0	7
NC	0	0	0	0	0	5	0	-	7	7	19
Samsung	2	0	0	0	0	4	5	0	-	7	18
SSG	0	0	6	0	0	2	5	0	0	-	13
-----------------------------------------------------------------------------------
Losses	16	6	25	0	17	49	49	41	38	45

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	1	0	0	2	2	0	2
Hanwha	0	-	0	0	0	1	0	2	0	0	1
KIA	0	0	-	2	2	0	0	0	0	1	2
Kiwoom	0	0	2	-	0	0	0	1	0	0	0
KT	1	0	2	0	-	0	2	0	0	0	2
LG	0	1	0	0	0	-	1	0	0	2	2
Lotte	0	0	0	0	2	1	-	1	1	0	2
NC	2	2	0	1	0	0	1	-	0	1	2
Samsung	2	0	0	0	0	0	1	0	-	1	3
SSG	0	0	1	0	0	2	0	1	1	-	2
-----------------------------------------------------------------------------------
Total	2	1	2	0	2	2	2	2	3	2

The next two tables show, respectively, how many total games each team wins and ties against each of the other teams in the scenario:

					Scenario Total Wins Against
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Wins
Doosan	-	4	9	7	7	12	11	9	5	11	75
Hanwha	12	-	13	9	13	10	10	10	13	12	102
KIA	7	3	-	6	9	12	13	13	9	5	77
Kiwoom	9	7	8	-	7	10	9	9	11	12	82
KT	8	3	5	9	-	13	8	11	14	11	82
LG	4	5	4	6	3	-	12	6	6	8	54
Lotte	5	6	3	7	6	3	-	11	7	5	53
NC	5	4	3	6	5	10	4	-	10	9	56
Samsung	9	3	7	5	2	10	8	6	-	11	61
SSG	5	4	10	4	5	6	11	6	4	-	55
-----------------------------------------------------------------------------------
Losses	64	39	62	59	57	86	86	81	79	84

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	1	0	0	2	2	0	5
Hanwha	0	-	0	0	0	1	0	2	0	0	3
KIA	0	0	-	2	2	0	0	0	0	1	5
Kiwoom	0	0	2	-	0	0	0	1	0	0	3
KT	1	0	2	0	-	0	2	0	0	0	5
LG	0	1	0	0	0	-	1	0	0	2	4
Lotte	0	0	0	0	2	1	-	1	1	0	5
NC	2	2	0	1	0	0	1	-	0	1	7
Samsung	2	0	0	0	0	0	1	0	-	1	4
SSG	0	0	1	0	0	2	0	1	1	-	5
-----------------------------------------------------------------------------------
Total	5	3	5	3	5	4	5	7	4	5