Here is scenario in which Kiwoom wins 12 additional games (68 total) but does not finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             KIA	87	53	4	0.6214	0.0
         Samsung	79	62	3	0.5603	8.5
          Doosan	73	69	2	0.5141	15.0
              LG	71	69	4	0.5071	16.0
          Hanwha	67	73	4	0.4786	20.0
              KT	67	73	4	0.4786	20.0
          Kiwoom	68	76	0	0.4722	21.0
             SSG	65	76	3	0.4610	22.5
           Lotte	63	75	6	0.4565	23.0
              NC	63	77	4	0.4500	24.0

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
             KIA	81	50	2	11	0.618	0.0
         Samsung	75	57	2	10	0.568	6.5
              LG	68	62	2	12	0.523	12.5
              KT	67	65	2	10	0.508	14.5
          Doosan	65	66	2	11	0.496	16.0
             SSG	62	68	2	12	0.477	18.5
           Lotte	59	67	4	14	0.468	19.5
          Hanwha	60	69	2	13	0.465	20.0
              NC	58	71	2	13	0.450	22.0
          Kiwoom	56	76	0	12	0.424	25.5

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	1	0	1	3	0	2	0	1	8
Hanwha	0	-	0	0	0	1	5	0	0	1	7
KIA	0	0	-	0	0	0	2	1	2	1	6
Kiwoom	1	1	2	-	3	1	0	0	2	2	12
KT	0	0	0	0	-	0	0	0	0	0	0
LG	0	0	0	0	0	-	1	0	1	1	3
Lotte	1	0	0	0	1	0	-	2	0	0	4
NC	0	3	0	0	0	2	0	-	0	0	5
Samsung	1	0	0	0	1	0	0	0	-	2	4
SSG	0	0	0	0	2	0	0	1	0	-	3
-----------------------------------------------------------------------------------
Losses	3	4	3	0	8	7	8	6	5	8

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

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	-	6	9	9	12	9	6	12	3	7	73
Hanwha	10	-	4	6	10	8	10	2	6	11	67
KIA	6	11	-	10	8	13	8	12	12	7	87
Kiwoom	7	10	6	-	5	11	8	7	8	6	68
KT	4	6	7	11	-	7	7	10	7	8	67
LG	7	8	3	5	9	-	10	11	7	11	71
Lotte	9	6	7	8	8	4	-	9	6	6	63
NC	4	11	4	9	6	5	7	-	6	11	63
Samsung	13	10	4	8	7	8	10	10	-	9	79
SSG	9	5	9	10	8	4	9	4	7	-	65
-----------------------------------------------------------------------------------
Losses	69	73	53	76	73	69	75	77	62	76

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	1	0	0	0	1	0	0	0	2
Hanwha	0	-	1	0	0	0	0	3	0	0	4
KIA	1	1	-	0	1	0	1	0	0	0	4
Kiwoom	0	0	0	-	0	0	0	0	0	0	0
KT	0	0	1	0	-	0	1	0	2	0	4
LG	0	0	0	0	0	-	2	0	1	1	4
Lotte	1	0	1	0	1	2	-	0	0	1	6
NC	0	3	0	0	0	0	0	-	0	1	4
Samsung	0	0	0	0	2	1	0	0	-	0	3
SSG	0	0	0	0	0	1	1	1	0	-	3
-----------------------------------------------------------------------------------
Total	2	4	4	0	4	4	6	4	3	3