Here is scenario in which Samsung finishes in first place with 56 additional wins (71 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
         Samsung	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
              NC	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
              LG	72	70	2	0.5070	0.0
             SSG	72	70	2	0.5070	0.0
          Doosan	70	70	4	0.5000	1.0
          Hanwha	70	70	4	0.5000	1.0
             KIA	70	70	4	0.5000	1.0
          Kiwoom	70	70	4	0.5000	1.0
           Lotte	70	70	4	0.5000	1.0
              KT	66	74	4	0.4714	5.0

Explanation of Tie-breakers:
NC and Samsung 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	19	7	0	118	0.731	0.0
              NC	16	10	0	118	0.615	3.0
         Samsung	15	11	1	117	0.577	4.0
             SSG	15	11	1	117	0.577	4.0
          Kiwoom	13	12	0	119	0.520	5.5
              LG	13	13	2	116	0.500	6.0
          Doosan	12	16	0	116	0.429	8.0
          Hanwha	11	15	0	118	0.423	8.0
              KT	9	18	1	116	0.333	10.5
           Lotte	7	17	1	119	0.292	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	-	3	4	11	9	1	4	0	13	13	58
Hanwha	9	-	13	10	7	0	5	4	0	11	59
KIA	8	0	-	4	9	9	4	9	8	0	51
Kiwoom	0	3	8	-	7	9	13	13	0	4	57
KT	4	4	4	6	-	4	0	13	9	13	57
LG	12	14	4	4	9	-	9	1	3	3	59
Lotte	9	9	10	0	10	4	-	12	8	1	63
NC	12	8	4	0	0	12	1	-	5	13	55
Samsung	0	12	4	14	5	8	5	7	-	1	56
SSG	0	2	12	9	0	10	12	0	12	-	57
-----------------------------------------------------------------------------------
Losses	54	55	63	58	56	57	53	59	58	59

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

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	-	5	5	13	11	3	5	2	13	13	70
Hanwha	10	-	13	10	10	1	6	5	1	14	70
KIA	10	3	-	7	11	12	6	11	9	1	70
Kiwoom	1	6	8	-	8	11	16	13	2	5	70
KT	5	6	5	8	-	5	0	14	9	14	66
LG	13	15	4	5	11	-	11	3	5	5	72
Lotte	11	10	10	0	12	5	-	13	8	1	70
NC	14	9	5	2	2	13	3	-	7	16	71
Samsung	3	14	6	14	7	10	8	8	-	1	71
SSG	3	2	14	11	2	10	15	0	15	-	72
-----------------------------------------------------------------------------------
Losses	70	70	70	70	74	70	70	69	69	70

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