[Grammar] "Start home" or "start for home"?

[Mori]

It's an exercise in my textbook:

Tina kept a diary of her trip. There are many errors with nouns and with verb and pronoun agreement. Find and correct them.

October27. I have been on the (canary) Canary Islands for three days now. I'll start home when the wearthers are better. I was so surprised when I picked up my mails today. My family sent some birthday presents to me. My Birthday is the 31st. I won`t open any gifts until then.

The ILI English Series, High-intermediate 1, page 8

Shouldn't it be "start for home"? It's not marked as one of the errors in the teacher's manual.

Here's the relevant sense on Merriam-Webster's Learner's Dictionary:

6. always followed by an adverb or preposition, [no object] : to begin to move toward a particular place or in a particular direction
We'll start for home soon.

 

[Matthew Wai]

I think 'home' can be used as an adverb, as in 'go home'.

 

[Rover_KE]

Matthew's right.

Search home in the dictionary you linked to for confirmation.

 

[GoesStation]

Only start for home​ works for me in that sentence.