The phrase you mentioned about "carrying the stone" does not appear verbatim in the Bible as a teaching directly from Jesus to His disciples. However, there are several passages where Jesus teaches about bearing one's burdens or taking up one's cross.
One relevant scripture is Matthew 16:24, where Jesus says, “If anyone would come after me, let him deny himself and take up his cross and follow me.” This verse speaks to the idea of carrying the burdens or responsibilities that come with discipleship.
If you could provide more context or detail about the specific teaching you're referring to, I might be able to assist you better in finding the scripture or interpretation you’re looking for.