Here is scenario in which SSG wins 97 additional games (120 total) but does not necessarily finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             SSG	120	23	1	0.8392	0.0	See explanation of tie-breakers below.
             KIA	120	23	1	0.8392	0.0	See explanation of tie-breakers below.
          Doosan	87	53	4	0.6214	31.5
          Kiwoom	83	58	3	0.5887	36.0
          Hanwha	78	65	1	0.5455	42.0
              KT	56	87	1	0.3916	64.0
         Samsung	55	88	1	0.3846	65.0
              LG	53	89	2	0.3732	66.5
              NC	36	107	1	0.2517	84.0
           Lotte	24	119	1	0.1678	96.0

Explanation of Tie-breakers:
KIA and SSG 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
             KIA	26	16	1	101	0.619	0.0
              NC	25	17	1	101	0.595	1.0
         Samsung	24	18	1	101	0.571	2.0
          Doosan	25	20	1	98	0.556	2.5
              LG	23	20	2	99	0.535	3.5
             SSG	23	20	1	100	0.535	3.5
          Kiwoom	18	24	0	102	0.429	8.0
              KT	18	25	1	100	0.419	8.5
          Hanwha	16	26	1	101	0.381	10.0
           Lotte	14	26	1	103	0.350	11.0

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	-	10	0	7	10	11	13	11	0	0	62
Hanwha	0	-	0	2	10	14	12	11	13	0	62
KIA	10	11	-	12	10	10	14	13	11	3	94
Kiwoom	0	8	0	-	11	11	10	14	11	0	65
KT	0	0	0	0	-	13	11	0	14	0	38
LG	0	0	0	0	0	-	10	10	10	0	30
Lotte	0	0	0	0	0	0	-	10	0	0	10
NC	0	0	0	0	11	0	0	-	0	0	11
Samsung	10	0	0	0	0	0	11	10	-	0	31
SSG	13	10	7	13	10	10	12	11	11	-	97
-----------------------------------------------------------------------------------
Losses	33	39	7	34	62	69	93	90	70	3

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	1	3	0	0	0	0	0	0	3
Hanwha	0	-	0	0	0	0	0	1	0	0	0
KIA	1	0	-	0	0	0	0	0	0	0	0
Kiwoom	3	0	0	-	0	0	0	0	0	0	3
KT	0	0	0	0	-	0	1	0	0	0	0
LG	0	0	0	0	0	-	0	0	1	1	0
Lotte	0	0	0	0	1	0	-	0	0	0	0
NC	0	1	0	0	0	0	0	-	0	0	0
Samsung	0	0	0	0	0	1	0	0	-	0	0
SSG	0	0	0	0	0	1	0	0	0	-	0
-----------------------------------------------------------------------------------
Total	3	0	0	3	0	0	0	0	0	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	-	14	2	12	15	15	14	14	1	0	87
Hanwha	2	-	1	4	13	15	13	12	14	4	78
KIA	13	15	-	16	13	14	16	15	13	5	120
Kiwoom	1	12	0	-	12	15	15	14	13	1	83
KT	1	3	3	4	-	14	12	3	14	2	56
LG	1	1	2	1	2	-	15	14	13	4	53
Lotte	2	3	0	1	3	1	-	11	2	1	24
NC	2	3	1	2	13	2	5	-	3	5	36
Samsung	15	2	3	3	2	2	14	13	-	1	55
SSG	16	12	11	15	14	11	15	11	15	-	120
-----------------------------------------------------------------------------------
Losses	53	65	23	58	87	89	119	107	88	23

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