Here is scenario in which SSG finishes in first place with 28 additional wins (70 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             SSG	70	69	5	0.5036	0.0	See explanation of tie-breakers below.
           Lotte	70	69	5	0.5036	0.0	See explanation of tie-breakers below.
          Kiwoom	71	70	3	0.5035	0.0
          Hanwha	70	70	4	0.5000	0.5
              LG	70	70	4	0.5000	0.5
              NC	69	69	6	0.5000	0.5
         Samsung	71	71	2	0.5000	0.5
          Doosan	69	70	5	0.4964	1.0
             KIA	69	70	5	0.4964	1.0
              KT	69	70	5	0.4964	1.0

Explanation of Tie-breakers:
Lotte 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	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	-	6	7	0	0	8	2	7	0	5	35
Hanwha	0	-	0	0	7	0	6	0	8	0	21
KIA	0	8	-	0	0	3	2	0	6	5	24
Kiwoom	6	6	4	-	4	3	7	0	8	7	45
KT	4	0	4	0	-	3	4	6	4	1	26
LG	0	6	3	4	6	-	0	5	0	0	24
Lotte	5	0	5	0	0	8	-	2	2	2	24
NC	0	4	9	7	1	0	6	-	0	5	32
Samsung	3	0	0	0	5	4	4	7	-	5	28
SSG	4	7	1	0	7	4	1	2	2	-	28
-----------------------------------------------------------------------------------
Losses	22	37	33	11	30	33	32	29	30	30

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	1	0	0	1	0	0	2	1	0	2
Hanwha	1	-	0	0	1	1	0	1	0	0	2
KIA	0	0	-	2	0	2	0	0	0	1	2
Kiwoom	0	0	0	-	0	0	0	1	0	0	0
KT	0	1	0	0	-	0	2	1	0	0	2
LG	0	0	2	0	0	-	1	0	0	0	2
Lotte	0	0	0	0	0	0	-	0	0	2	2
NC	0	0	0	0	1	0	0	-	0	1	1
Samsung	1	0	0	0	0	0	0	0	-	1	1
SSG	0	0	0	0	0	0	2	0	0	-	2
-----------------------------------------------------------------------------------
Total	2	2	2	0	2	2	2	1	1	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	-	10	9	7	4	12	6	9	5	7	69
Hanwha	5	-	5	9	12	4	10	7	13	5	70
KIA	7	11	-	6	7	7	8	4	9	10	69
Kiwoom	9	7	8	-	7	6	9	2	11	12	71
KT	11	3	9	9	-	7	8	9	9	4	69
LG	4	11	7	10	9	-	4	11	6	8	70
Lotte	10	6	8	7	6	11	-	6	9	7	70
NC	5	8	12	13	6	5	10	-	3	7	69
Samsung	10	3	7	5	7	10	7	13	-	9	71
SSG	9	11	5	4	12	8	7	8	6	-	70
-----------------------------------------------------------------------------------
Losses	70	70	70	70	70	70	69	69	71	69

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	1	0	0	1	0	0	2	1	0	5
Hanwha	1	-	0	0	1	1	0	1	0	0	4
KIA	0	0	-	2	0	2	0	0	0	1	5
Kiwoom	0	0	0	-	0	0	0	1	0	0	3
KT	0	1	0	0	-	0	2	1	0	0	5
LG	0	0	2	0	0	-	1	0	0	0	4
Lotte	0	0	0	0	0	0	-	0	0	2	5
NC	0	0	0	0	1	0	0	-	0	1	6
Samsung	1	0	0	0	0	0	0	0	-	1	2
SSG	0	0	0	0	0	0	2	0	0	-	5
-----------------------------------------------------------------------------------
Total	5	4	5	3	5	4	5	6	2	5