Here is a list of different locos hauling the longest distance:
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Diesel:
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Single Alco - 16734 : ED WDM 3A/3D ...
more... - --------- OKHA - RMM = 3190 Kms.
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Single EMD - 15933 : SGUJ WDP 4/4B/4D -------- DBRG - ASR = 2854 Kms.
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Twin Alcos - 16338 : ERS WDM 3A ----------- ERS - OKHA = 2251 Kms.
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Electric:
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Single WAP 1 - 16093 : AJJ WAP 1 - ------------- MAS - LJN = 2089 Kms.
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Single WAP 4 - 16317 : ED/RPM WAP 4 ---------------- CAPE - NDLS = 3117 Kms.
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Single WAP 5 - 12471 : BRC WAP 5 ---------------- BDTS - JAT = 1951 kms.
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Single WAP 7 - 22691 : GZB WAP 7 - -------------- SBC - NZM = 2384 Kms.
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Single WAG 5 - 58111 : TATA WAG 5 - ------------- TATA - ITR = 877 Kms.
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I have done it to the best of my knowledge, please comment if you find any mistake. I have taken only regular links into consideration. Thanks.