Is my custom base-4 triple-substitution cipher actually unbreakable?

I invented a Base-4 Triple-Substitution, Transposition, Re-Substitution Cypher, which I'm pretty sure is unbreakable without a super-computer and intercepting hundreds of messages over time and crunching them for all possible outcomes.

The Alphabet uses 64 characters: 26 lower case letters, 26 upper case letters, 10 numerals, and two Punctuation Marks, which are "!" and "?". It's also possible to do 26 Upper case letters, 10 numerals, and 28 punctuation marks and grouping symbols, which might even be better, it's just that system is harder to memorize.

With this technique, the cypher text is highly randomized and incredibly unlikely for anyone to break by hand or even a simple computer algorithm.

You would need to derive the parent alphabet, the transposition password, and the daughter alphabet to break the Cypher. Again, I doubt anyone could ever do that by hand.

What does anyone think of this? IF you want a demonstration, post a one sentence long message, and I'll post back the Cypher Text for you to see how highly randomized it ends up being.

Is my custom base-4 triple-substitution cipher actually unbreakable?
Post Opinion