Here is scenario in which Kiwoom finishes in first place with 59 additional wins (71 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
          Kiwoom	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
             KIA	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
           Lotte	72	70	2	0.5070	0.0
             SSG	72	70	2	0.5070	0.0
              NC	72	71	1	0.5035	0.5
              KT	71	71	2	0.5000	1.0
              LG	72	72	0	0.5000	1.0
          Doosan	71	72	1	0.4965	1.5
         Samsung	70	72	2	0.4930	2.0
          Hanwha	67	73	4	0.4786	4.0

Explanation of Tie-breakers:
KIA and Kiwoom 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
              KT	22	10	0	112	0.688	0.0
              LG	20	11	0	113	0.645	1.5
             SSG	17	13	1	113	0.567	4.0
         Samsung	16	14	1	113	0.533	5.0
             KIA	15	16	1	112	0.484	6.5
              NC	14	16	1	113	0.467	7.0
          Doosan	14	17	1	112	0.452	7.5
           Lotte	12	18	1	113	0.400	9.0
          Hanwha	12	19	0	113	0.387	9.5
          Kiwoom	12	20	0	112	0.375	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	-	4	3	11	13	3	3	4	3	13	57
Hanwha	9	-	4	2	7	9	13	5	6	0	55
KIA	10	8	-	0	10	8	9	5	0	6	56
Kiwoom	0	11	10	-	5	1	2	12	12	6	59
KT	0	4	0	8	-	11	3	9	9	5	49
LG	9	4	5	12	0	-	5	4	6	7	52
Lotte	10	0	4	8	10	8	-	8	5	7	60
NC	10	8	5	1	4	7	5	-	9	9	58
Samsung	7	4	14	0	4	8	9	4	-	4	54
SSG	0	11	8	7	8	6	3	4	8	-	55
-----------------------------------------------------------------------------------
Losses	55	54	53	49	61	61	52	55	58	57

					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	1	0	0
Hanwha	0	-	0	1	2	0	1	0	0	0	4
KIA	0	0	-	3	0	0	1	0	0	0	3
Kiwoom	0	1	3	-	0	0	0	0	0	0	4
KT	0	2	0	0	-	0	0	0	0	0	2
LG	0	0	0	0	0	-	0	0	0	0	0
Lotte	0	1	0	0	0	0	-	0	0	0	1
NC	0	0	0	0	0	0	0	-	0	1	0
Samsung	0	0	0	0	0	0	0	0	-	1	1
SSG	0	0	0	0	0	0	0	0	1	-	1
-----------------------------------------------------------------------------------
Total	0	4	3	4	2	0	1	0	1	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	14	14	4	5	5	5	14	71
Hanwha	11	-	4	4	7	10	15	6	7	3	67
KIA	11	12	-	3	11	9	11	7	1	6	71
Kiwoom	2	11	10	-	6	2	4	14	15	7	71
KT	2	7	5	10	-	15	5	11	10	6	71
LG	12	6	7	14	1	-	7	8	7	10	72
Lotte	11	0	4	12	11	9	-	8	7	10	72
NC	11	10	9	2	5	8	8	-	9	10	72
Samsung	10	9	15	1	6	9	9	7	-	4	70
SSG	2	13	10	9	10	6	6	5	11	-	72
-----------------------------------------------------------------------------------
Losses	72	73	69	69	71	72	70	71	72	70

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