1. "tumbler" until 128: up right down left, repeat
2. Get 128 on the top in the middle two slots. Really any edge works, but I'll say top for simplicity. Keep a semi-large value on the side with one open slot in top row to prevent sliding. The other side on top is used for staging
3. Only use left, right and up. Never let a smaller value get trapped. This rule can only be violated to avoid filling the top three rows with the fourth empty.
I lost this game because I mistakenly filled the top three rows, forcing me to use a down. I think this strategy is viable to win however