Here is scenario in which Kiwoom wins 120 additional games (128 total) but does not necessarily finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
          Kiwoom	128	16	0	0.8889	0.0	See explanation of tie-breakers below.
              LG	128	16	0	0.8889	0.0	See explanation of tie-breakers below.
          Hanwha	107	37	0	0.7431	21.0
             KIA	75	65	4	0.5357	51.0
           Lotte	66	77	1	0.4615	61.5
              NC	65	79	0	0.4514	63.0
          Doosan	57	84	3	0.4043	69.5
         Samsung	38	102	4	0.2714	88.0
             SSG	37	107	0	0.2569	91.0
              KT	11	129	4	0.0786	115.0

Explanation of Tie-breakers:
Kiwoom and LG tie for first place and play a post-season game; the winner is awarded first place in the final standings and the loser is awarded second place.

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
              LG	17	4	0	123	0.810	0.0
           Lotte	12	10	1	121	0.545	5.5
          Hanwha	12	11	0	121	0.522	6.0
              KT	10	10	1	123	0.500	6.5
         Samsung	11	11	0	122	0.500	6.5
             SSG	9	10	0	125	0.474	7.0
          Doosan	9	11	0	124	0.450	7.5
             KIA	9	12	0	123	0.429	8.0
              NC	7	10	0	127	0.412	8.0
          Kiwoom	8	15	0	121	0.348	10.0

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	13	0	9	0	13	0	13	0	48
Hanwha	13	-	13	0	14	0	14	15	13	13	95
KIA	2	0	-	0	13	0	13	14	10	14	66
Kiwoom	14	13	13	-	15	12	13	13	14	13	120
KT	1	0	0	0	-	0	0	0	0	0	1
LG	13	13	14	1	14	-	14	14	13	15	111
Lotte	0	0	0	0	13	0	-	13	15	13	54
NC	16	0	0	0	13	0	0	-	13	16	58
Samsung	0	0	0	0	14	0	0	0	-	13	27
SSG	14	0	0	0	14	0	0	0	0	-	28
-----------------------------------------------------------------------------------
Losses	73	26	53	1	119	12	67	69	91	97

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

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	-	1	14	2	10	1	15	0	14	0	57
Hanwha	15	-	15	2	15	0	14	16	14	16	107
KIA	2	1	-	1	15	0	15	15	11	15	75
Kiwoom	14	14	15	-	16	13	13	14	14	15	128
KT	3	1	1	0	-	1	1	2	2	0	11
LG	15	16	16	3	15	-	16	16	15	16	128
Lotte	1	2	1	3	14	0	-	15	16	14	66
NC	16	0	1	2	14	0	1	-	15	16	65
Samsung	2	2	1	2	14	1	0	1	-	15	38
SSG	16	0	1	1	16	0	2	0	1	-	37
-----------------------------------------------------------------------------------
Losses	84	37	65	16	129	16	77	79	102	107

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