It's Gonna Be a Long Knight

The proper name for this puzzle's constraint probably has something to do with taxicab numbers, but I prefer "long knight." Essentially, this is a knight's move constraint with an extra cell. In the explanation image below, none of the green cells can be a 7.
Ordinary Sudoku Rules Apply
Long Knight Rules Apply
Ordinary Killer Rules Apply
Digits may not repeat along the indicated diagonals.
Watch a solve from Simon Anthony here