Here is scenario in which KIA finishes in first place with 45 additional wins (71 total).

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
             KIA	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
          Doosan	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
         Samsung	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
             SSG	71	69	4	0.5071	0.0	See explanation of tie-breakers below.
          Kiwoom	70	70	4	0.5000	1.0
              KT	70	70	4	0.5000	1.0
              NC	70	70	4	0.5000	1.0
           Lotte	71	72	1	0.4965	1.5
              LG	70	72	2	0.4930	2.0
          Hanwha	69	74	1	0.4825	3.5

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	Doosan	KIA	Samsung	SSG	Total
Doosan	-	2	1	0	3
KIA	3	-	2	2	7
Samsung	5	3	-	1	9
SSG	3	4	4	-	11

The following table shows how many additional games each of the teams tied for first place win against each other in the scenario:
Team	Doosan	KIA	Samsung	SSG	Total
Doosan	-	9	0	10	19
KIA	1	-	6	10	17
Samsung	10	5	-	0	15
SSG	0	0	11	-	11

The following table shows how many games total each of the teams tied for first place win against each other in the scenario:
Team	Doosan	KIA	Samsung	SSG	Total
Doosan	-	11	1	10	22
KIA	4	-	8	12	24
Samsung	15	8	-	1	24
SSG	3	4	15	-	22

The first tiebreaker does not resolve the tie.
The following table shows how many runs each of the teams tied for first place as already scored against each other in the scenario:
Team	Doosan	KIA	Samsung	SSG	Total
Doosan	-	32	17	11	60
KIA	33	-	18	31	82
Samsung	34	23	-	27	84
SSG	21	32	32	-	85

The following table shows how many additional runs each of the teams tied for first place scores against each other in the scenario:
Team	Doosan	KIA	Samsung	SSG	Total
Doosan	-	9	0	10	19
KIA	1	-	51	10	62
Samsung	53	5	-	0	58
SSG	0	0	58	-	58

The following table shows how many runs total each of the teams tied for first place scores against each other in the scenario:
Team	Doosan	KIA	Samsung	SSG	Total
Doosan	-	41	17	21	79
KIA	34	-	69	41	144
Samsung	87	28	-	27	142
SSG	21	32	90	-	143

KIA wins the second tie-breaker against Samsung


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	-	8	9	10	0	0	0	9	0	10	46
Hanwha	2	-	11	0	10	8	12	0	0	10	53
KIA	1	0	-	12	0	6	0	10	6	10	45
Kiwoom	0	10	0	-	9	11	10	5	6	1	52
KT	10	0	10	0	-	13	0	11	4	4	52
LG	11	6	4	0	0	-	10	10	3	3	47
Lotte	13	0	14	0	11	0	-	8	11	0	57
NC	2	11	0	9	0	0	2	-	10	11	45
Samsung	10	13	5	3	9	7	0	0	-	0	47
SSG	0	0	0	12	6	7	12	0	11	-	48
-----------------------------------------------------------------------------------
Losses	49	48	53	46	45	52	46	53	51	49

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	1	0	0	0	0	0	0	3	3
Hanwha	0	-	0	0	0	0	0	1	0	0	0
KIA	0	0	-	0	0	0	0	3	0	0	3
Kiwoom	0	0	0	-	2	0	0	0	2	0	4
KT	0	0	0	2	-	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	3	0	0	0	0	-	0	0	3
Samsung	0	0	0	2	1	0	0	0	-	0	3
SSG	3	0	0	0	0	0	0	0	0	-	3
-----------------------------------------------------------------------------------
Total	3	0	3	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	-	12	11	15	5	4	1	12	1	10	71
Hanwha	4	-	12	2	13	9	13	1	1	14	69
KIA	4	4	-	16	3	10	2	12	8	12	71
Kiwoom	1	14	0	-	10	15	15	5	8	2	70
KT	11	3	13	4	-	14	1	14	4	6	70
LG	12	7	6	1	2	-	15	14	6	7	70
Lotte	15	3	14	1	14	1	-	9	13	1	71
NC	4	14	1	11	2	2	7	-	13	16	70
Samsung	15	15	8	6	11	9	3	3	-	1	71
SSG	3	2	4	14	10	8	15	0	15	-	71
-----------------------------------------------------------------------------------
Losses	69	74	69	70	70	72	72	70	69	69

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