Here is scenario in which KIA wins 72 additional games (98 total) but does not reach the postseason.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
          Doosan	96	44	4	0.6857	0.0
              LG	96	44	4	0.6857	0.0
              NC	96	44	4	0.6857	0.0
         Samsung	96	44	4	0.6857	0.0
             SSG	96	44	4	0.6857	0.0
             KIA	98	45	1	0.6853	-0.5
           Lotte	47	96	1	0.3287	50.5
          Hanwha	30	113	1	0.2098	67.5
              KT	29	114	1	0.2028	68.5
          Kiwoom	24	120	0	0.1667	74.0

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	-	10	10	10	10	0	13	0	7	11	71
Hanwha	0	-	0	4	10	0	0	0	0	0	14
KIA	0	11	-	12	10	10	14	0	5	10	72
Kiwoom	0	6	0	-	0	0	0	0	0	0	6
KT	0	0	0	11	-	0	0	0	0	0	11
LG	10	14	0	11	13	-	10	10	5	0	73
Lotte	0	12	0	10	11	0	-	0	0	0	33
NC	9	11	13	14	11	0	10	-	0	3	71
Samsung	3	13	6	11	14	5	11	9	-	0	72
SSG	2	10	0	13	10	9	12	8	9	-	73
-----------------------------------------------------------------------------------
Losses	24	87	29	96	89	24	70	27	26	24

					Scenario Additional Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	1	0	0	1	0	2	0	0	3
Hanwha	0	-	0	0	0	0	0	1	0	0	0
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	-	0	1	0	0	0	0
LG	1	0	0	0	0	-	0	0	1	2	2
Lotte	0	0	0	0	0	0	-	0	0	0	0
NC	2	0	0	0	0	0	0	-	1	0	3
Samsung	0	0	0	0	0	0	0	1	-	2	3
SSG	0	0	0	0	0	1	0	0	2	-	3
-----------------------------------------------------------------------------------
Total	3	0	0	0	0	2	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	-	14	12	15	15	4	14	3	8	11	96
Hanwha	2	-	1	6	13	1	1	1	1	4	30
KIA	3	15	-	16	13	14	16	2	7	12	98
Kiwoom	1	10	0	-	1	4	5	0	2	1	24
KT	1	3	3	15	-	1	1	3	0	2	29
LG	11	15	2	12	15	-	15	14	8	4	96
Lotte	2	15	0	11	14	1	-	1	2	1	47
NC	11	14	14	16	13	2	15	-	3	8	96
Samsung	8	15	9	14	16	7	14	12	-	1	96
SSG	5	12	4	15	14	10	15	8	13	-	96
-----------------------------------------------------------------------------------
Losses	44	113	45	120	114	44	96	44	44	44

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