Multiple possible solutions. Thank you for the hints, Teesea.
Tips for making puzzles: Lots of single squares in a diagonal line can have multiple possible solutions. Making an inverse version of the puzzle often helps for characters like this. There's also an option to test solve your puzzle, which is a great way to eliminate ambiguous squares prior to submitting the puzzle.
You then have 2 lines of single dots from r1,c7 to r7,c1 and r1,c11 to r11,c1.
Tips for making puzzles: Lots of single squares in a diagonal line can have multiple possible solutions. Making an inverse version of the puzzle often helps for characters like this. There's also an option to test solve your puzzle, which is a great way to eliminate ambiguous squares prior to submitting the puzzle.