Here is scenario in which SSG wins 65 additional games (104 total) but does not necessarily finish in first place.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             SSG	104	37	3	0.7376	0.0	See explanation of tie-breakers below.
              LG	104	37	3	0.7376	0.0	See explanation of tie-breakers below.
              NC	87	53	4	0.6214	16.5
          Hanwha	79	64	1	0.5524	26.0
          Doosan	65	76	3	0.4610	39.0
         Samsung	64	79	1	0.4476	41.0
              KT	59	81	4	0.4214	44.5
             KIA	55	86	3	0.3901	49.0
          Kiwoom	46	95	3	0.3262	58.0
           Lotte	43	98	3	0.3050	61.0

Explanation of Tie-breakers:
LG 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
          Hanwha	46	32	1	65	0.590	0.0
              LG	45	33	2	64	0.577	1.0
           Lotte	43	35	3	63	0.551	3.0
             KIA	42	35	3	64	0.545	3.5
             SSG	39	37	3	65	0.513	6.0
              KT	40	38	3	63	0.513	6.0
         Samsung	40	39	1	64	0.506	6.5
              NC	35	38	4	67	0.479	8.5
          Doosan	31	46	3	64	0.403	14.5
          Kiwoom	26	54	3	61	0.325	21.0

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	-	7	7	5	7	0	7	0	1	0	34
Hanwha	0	-	8	9	8	0	6	0	2	0	33
KIA	0	0	-	0	3	0	10	0	0	0	13
Kiwoom	1	0	4	-	0	0	7	0	8	0	20
KT	0	0	1	6	-	0	4	0	8	0	19
LG	8	6	8	7	8	-	10	5	7	0	59
Lotte	0	0	0	0	0	0	-	0	0	0	0
NC	7	6	9	7	8	0	8	-	7	0	52
Samsung	5	6	6	0	1	0	6	0	-	0	24
SSG	9	7	8	7	8	4	5	10	7	-	65
-----------------------------------------------------------------------------------
Losses	30	32	51	41	43	4	63	15	40	0

					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	0	0	0
Hanwha	0	-	0	0	0	1	0	0	0	0	0
KIA	0	0	-	2	0	0	0	0	0	1	0
Kiwoom	0	0	2	-	0	0	0	1	0	0	0
KT	1	0	0	0	-	1	2	0	0	0	1
LG	0	1	0	0	1	-	1	0	0	0	1
Lotte	0	0	0	0	2	1	-	0	0	0	0
NC	2	0	0	1	0	0	0	-	0	1	0
Samsung	0	0	0	0	0	0	0	0	-	1	0
SSG	0	0	1	0	0	0	0	1	1	-	0
-----------------------------------------------------------------------------------
Total	0	0	0	0	1	1	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	-	11	9	12	9	4	11	2	5	2	65
Hanwha	5	-	13	15	13	4	10	7	7	5	79
KIA	7	3	-	6	10	4	14	4	3	4	55
Kiwoom	4	1	8	-	3	3	9	2	11	5	46
KT	6	3	6	13	-	4	8	3	13	3	59
LG	12	11	12	13	11	-	14	11	12	8	104
Lotte	5	6	2	7	6	1	-	4	7	5	43
NC	12	9	12	13	13	5	12	-	10	1	87
Samsung	11	9	13	5	3	4	9	6	-	4	64
SSG	14	11	11	11	13	8	11	14	11	-	104
-----------------------------------------------------------------------------------
Losses	76	64	86	95	81	37	98	53	79	37

					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	0	0	3
Hanwha	0	-	0	0	0	1	0	0	0	0	1
KIA	0	0	-	2	0	0	0	0	0	1	3
Kiwoom	0	0	2	-	0	0	0	1	0	0	3
KT	1	0	0	0	-	1	2	0	0	0	4
LG	0	1	0	0	1	-	1	0	0	0	3
Lotte	0	0	0	0	2	1	-	0	0	0	3
NC	2	0	0	1	0	0	0	-	0	1	4
Samsung	0	0	0	0	0	0	0	0	-	1	1
SSG	0	0	1	0	0	0	0	1	1	-	3
-----------------------------------------------------------------------------------
Total	3	1	3	3	4	3	3	4	1	3