Telkit is designed for Minecraft 1.7.10.
It is available on the Technic Launcher. The current release of Telkit is version 5.0.5, released on Saturday, November 25, 2017.

Custom Sphax Patches (In Menu Loading Order, Top to Bottom)
Sphax PureBDcraft Modded Textures for Telkit - June 30, 2017 for Telkit 5.0.3+
Default
These patches are notorious for not working if Telkit is allocated less than 10 GB of RAM.

Basic Prerequisites
Technic Launcher
Java Runtime Environment 8 x64 - Windows - macOS - Linux

If you wish to play around with the telkit.zip file, here is the direct download link.

Vanilla Minecraft Packs Compatible with Telkit
VoxelBox Scientific HD (1.6.1+) - superseded by NosLabs Custom Blocks mod
Original NosLabs Resource Pack (1.6.1+) - superseded by NosLabs Custom Blocks mod

This pack is still considered the flagship Nosiphus modpack, and while the Nosiphus Unleashed server has become more widely used, the Telkit server remains active and maintained on the original port.

Nosiphus Modded Server

mc.nosiphus.com

The Nosiphus modded server is the single most important thing we ever brought into existence. Once a plain vanilla 1.5.2 server, it has grown to be powered by Telkit, a 135-mod behemoth.

Once almost impossible to access, the Telkit modpack now includes the IP built-in.

 
Installation Video

Installation Instructions - Courtesy of Nate Sawyers