Here is scenario in which KT wins 44 additional games (87 total) but does not reach the postseason.

Here are the final standings in the scenario:
            Team	W	L	D	PCT	GB
              LG	89	51	4	0.6357	0.0
             SSG	87	52	5	0.6259	1.5
          Hanwha	87	53	4	0.6214	2.0
             KIA	86	53	5	0.6187	2.5
           Lotte	86	53	5	0.6187	2.5
              KT	87	54	3	0.6170	2.5
         Samsung	56	85	3	0.3972	33.5
          Kiwoom	41	99	4	0.2929	48.0
          Doosan	40	100	4	0.2857	49.0
              NC	39	98	7	0.2847	48.5

To construct the scenario, we start with the current standings:
            Team	W	L	D	GL	PCT	GB
          Hanwha	49	33	2	60	0.598	0.0
              LG	46	37	2	59	0.554	3.5
           Lotte	46	37	3	58	0.554	3.5
             KIA	45	37	3	59	0.549	4.0
             SSG	42	39	3	60	0.519	6.5
              KT	43	40	3	58	0.518	6.5
         Samsung	43	41	1	59	0.512	7.0
              NC	37	40	5	62	0.481	9.5
          Doosan	34	48	3	59	0.415	15.0
          Kiwoom	26	59	3	56	0.306	24.5

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	-	0	0	0	0	0	0	6	0	0	6
Hanwha	7	-	7	6	6	0	0	4	8	0	38
KIA	7	0	-	4	3	4	6	9	6	2	41
Kiwoom	6	0	0	-	0	0	0	5	4	0	15
KT	4	2	1	4	-	6	2	8	9	8	44
LG	8	5	3	7	3	-	8	5	4	0	43
Lotte	7	6	1	7	2	0	-	8	6	3	40
NC	0	0	0	2	0	0	0	-	0	0	2
Samsung	4	0	0	3	0	0	0	6	-	0	13
SSG	9	7	4	7	0	4	0	7	7	-	45
-----------------------------------------------------------------------------------
Losses	52	20	16	40	14	14	16	58	44	13

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

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	-	4	2	7	4	4	4	8	5	2	40
Hanwha	12	-	12	15	11	4	4	11	13	5	87
KIA	14	3	-	10	10	8	12	13	9	7	86
Kiwoom	9	1	4	-	3	3	2	7	7	5	41
KT	11	5	6	13	-	10	6	11	14	11	87
LG	12	10	7	13	6	-	12	11	10	8	89
Lotte	12	12	4	14	8	3	-	12	13	8	86
NC	5	4	3	8	5	5	4	-	3	2	39
Samsung	11	3	7	8	2	6	3	12	-	4	56
SSG	14	11	8	11	5	8	6	13	11	-	87
-----------------------------------------------------------------------------------
Losses	100	53	53	99	54	51	53	98	85	52

					Scenario Total Draws (Ties) With
Team	Doosan	Hanwha	KIA	Kiwoom	KT	LG	Lotte	NC	Samsung	SSG	Total
Doosan	-	0	0	0	1	0	0	3	0	0	4
Hanwha	0	-	1	0	0	2	0	1	0	0	4
KIA	0	1	-	2	0	1	0	0	0	1	5
Kiwoom	0	0	0	-	0	0	0	1	1	0	4
KT	0	0	0	0	-	0	2	0	0	0	3
LG	0	1	1	0	0	-	1	0	0	0	4
Lotte	0	0	0	0	0	0	-	0	0	2	5
NC	1	0	0	0	0	0	0	-	1	1	7
Samsung	0	0	0	1	0	0	0	1	-	1	3
SSG	0	0	0	0	0	0	2	0	0	-	5
-----------------------------------------------------------------------------------
Total	4	4	5	4	3	4	5	7	3	5