Carrying responsibility in a dream reflects how accountable you feel for others or outcomes. Its weight is read as a measure of the load you carry when awake.
Does the traditional reading fit your dream, or did it mean something else to you?
My Cosmic Code has a private dream journal. Write a dream down and the app picks out the symbols in it, shows what dream books say about them and, over time, which words recur across your entries. The journal is stored on your device only.