You could always give it a try, I haven't tested on 1.6.
I'll see if I can put together a 1.6 set.
EDIT - after a little nosing through the 1.6 filenames, nothing has really changed from what I can see. Files have simply been added on top since, so the 1.7 packs are 100% usable for 1.6 in the meantime.
[512x - 32x] OpenComputers [MC1.7]
in the latest version of the mod for 1.7.10 there appear to be a few missing items in the patch(trading upgrade, hover upgrade1&2, the manual, the ink cartridges, disk drive, diamond chip, data cards, chamelium, APU's, hoover boots and the scrench), could these items also be sphaxified? ^^
I'm considering trying this mod myself in 1.10.2 soon (the first post of the MCF thread doesn't make it obvious that the mod has updated to that Minecraft version, but the CurseForge page does), so I'd somewhat like an update as well. If I go through with that, and it hasn't already been updated by the time I'm ready, I might take a stab at it myself - it looks like it will mainly just be renaming the files.
Edit: I've set up a Pull Request on GrumpyPirate's GitHub repo (btw, the GitHub link in the first post is for the Tubes patch, rather than for the OpenComputers patch, but I was able to find the right one) that adds a 1.10.2 folder with the textures renamed and rearranged to work with OpenComputers 1.6.2.7 for 1.10.2. I haven't added any new textures, though, so the items that OliviaFurr mentioned still use default textures.
Edit: I've set up a Pull Request on GrumpyPirate's GitHub repo (btw, the GitHub link in the first post is for the Tubes patch, rather than for the OpenComputers patch, but I was able to find the right one) that adds a 1.10.2 folder with the textures renamed and rearranged to work with OpenComputers 1.6.2.7 for 1.10.2. I haven't added any new textures, though, so the items that OliviaFurr mentioned still use default textures.
Think I'll leave this here for 1.10.2 x64 
Not complete as there's new stuff in the mod and I cannot texture to Grumpys standards, I have done some extra stuff where changing colours of existing textures was necessary.

Not complete as there's new stuff in the mod and I cannot texture to Grumpys standards, I have done some extra stuff where changing colours of existing textures was necessary.