Here is scenario in which SSG finishes in first place with 48 additional wins (71 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             SSG	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
          Kiwoom	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
              KT	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
             KIA	71	70	3	0.5035	0.5
           Lotte	72	71	1	0.5035	0.5
              LG	71	71	2	0.5000	1.0
              NC	70	70	4	0.5000	1.0
          Hanwha	71	72	1	0.4965	1.5
          Doosan	70	71	3	0.4965	1.5
         Samsung	67	73	4	0.4786	4.0

Explanation of Tie-breakers:
The following table shows how many games each of the teams tied for first place in the scenario have already won against each other:
Team	Kiwoom	KT	SSG	Total
Kiwoom	-	1	1	2
KT	4	-	2	6
SSG	2	4	-	6

The following table shows how many additional games each of the teams tied for first place win against each other in the scenario:
Team	Kiwoom	KT	SSG	Total
Kiwoom	-	1	1	2
KT	10	-	2	12
SSG	9	8	-	17

The following table shows how many games total each of the teams tied for first place win against each other in the scenario:
Team	Kiwoom	KT	SSG	Total
Kiwoom	-	2	2	4
KT	14	-	4	18
SSG	11	12	-	23


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	-	7	7	0	0	10	5	0	4	12	45
Hanwha	3	-	10	0	9	4	8	3	13	5	55
KIA	3	1	-	0	10	3	4	10	10	4	45
Kiwoom	10	10	11	-	1	0	6	3	11	1	53
KT	8	1	0	10	-	13	8	11	0	2	53
LG	1	10	7	11	0	-	0	10	3	6	48
Lotte	8	4	10	4	3	10	-	8	11	0	58
NC	11	8	2	11	0	0	2	-	0	11	45
Samsung	6	0	1	0	13	7	0	8	-	8	43
SSG	1	5	6	9	8	4	12	0	3	-	48
-----------------------------------------------------------------------------------
Losses	51	46	54	45	44	51	45	53	55	49

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

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	5	5	14	6	3	5	12	70
Hanwha	5	-	11	2	12	5	9	4	14	9	71
KIA	6	5	-	4	13	7	6	12	12	6	71
Kiwoom	11	14	11	-	2	4	11	3	13	2	71
KT	9	4	3	14	-	14	9	14	0	4	71
LG	2	11	9	12	2	-	5	14	6	10	71
Lotte	10	7	10	5	6	11	-	9	13	1	72
NC	13	11	3	13	2	2	7	-	3	16	70
Samsung	11	2	4	3	15	9	3	11	-	9	67
SSG	4	7	10	11	12	5	15	0	7	-	71
-----------------------------------------------------------------------------------
Losses	71	72	70	69	69	71	71	70	73	69

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