Here is scenario in which SSG finishes in first place with 62 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.
          Hanwha	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
             KIA	73	71	0	0.5069	0.0
              LG	71	70	3	0.5035	0.5
              NC	71	70	3	0.5035	0.5
          Doosan	70	70	4	0.5000	1.0
              KT	70	70	4	0.5000	1.0
           Lotte	70	70	4	0.5000	1.0
         Samsung	70	70	4	0.5000	1.0
          Kiwoom	68	76	0	0.4722	5.0

Explanation of Tie-breakers:
Hanwha 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
              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	-	11	15	0	0	8	4	16	0	7	61
Hanwha	2	-	0	13	14	1	14	15	0	0	59
KIA	0	13	-	13	13	5	0	0	14	6	64
Kiwoom	14	0	0	-	7	12	13	0	14	0	60
KT	13	0	0	8	-	11	0	0	14	14	60
LG	5	12	9	1	0	-	14	10	0	3	54
Lotte	9	0	13	0	13	0	-	10	0	13	58
NC	0	0	14	13	13	4	0	-	4	16	64
Samsung	9	13	0	0	0	13	15	9	-	0	59
SSG	7	9	8	13	0	12	0	0	13	-	62
-----------------------------------------------------------------------------------
Losses	59	58	59	61	60	66	60	60	59	59

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

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	-	12	16	2	1	9	6	16	1	7	70
Hanwha	4	-	2	15	15	1	14	16	1	3	71
KIA	0	14	-	14	15	5	2	1	15	7	73
Kiwoom	14	1	2	-	8	13	13	1	14	2	68
KT	15	1	1	8	-	12	1	2	16	14	70
LG	7	15	11	3	1	-	16	12	2	4	71
Lotte	10	2	14	3	14	0	-	12	1	14	70
NC	0	0	15	15	14	4	1	-	6	16	71
Samsung	11	15	1	2	0	14	15	10	-	2	70
SSG	9	9	9	14	2	12	2	0	14	-	71
-----------------------------------------------------------------------------------
Losses	70	69	71	76	70	70	70	70	70	69

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