I found the easiest way to do this by chance. Load up single player and spawn in the artifacts to your inventory using the commands found here: http://www.playjurassicark.com/ark-item-id-list-for-administ...
then go to a supply drop put them all inside then hit take all to get them back and the achievement popped.Help from the community:
"Just to be clear exactly what i did, after you have all 10 Artifacts you are going to a drop on the map and putting all 10 in and without closing the item transfer screen just immediately pressing take all to transfer them back over to your inventory again. This worked first time for me. Hope it helps you."