This is at our house in Indy. I took these in 2007, the first year I tried this technique so there have been some minor changes which I will list. The bed is also longer, deeper, bigger etc and every year the plants grew over the top of the 6' fence and I would cut them back. We also had good luck with oregano, basil and peppers in front of them. Eventually I moved peppers to their own bed and just grew herbs in this bed with the tomatoes. Then we created beds just for herb plants and included them in the landscaping as well. Plants like sage, purple basil and oregano look pretty good on their own.
I used the Florida Weave Technique combined with my idea of attaching it to the fence posts. I used large stainless eyebolts with threads for wood and 8' lengths of rebar. I put two eyebolts into each post and the posts are 8' apart. One change was to add a third eyebolt in the middle. Near the end of the season there was enough pull on the rebar that it flexed a bit in the center. At the end of the season, you cut down the plants and strings, pull the rebar and put it away. Eventually I just left the rebar in year round.
I put 4 plants in each 8' run. Starting at the first rebar I put a plant at 1', 3', 5' and 7'. Frankly its better to use 3 plants in an 8' run. I tried a few different varieties and this fence runs East/West so plants face South. Open space behind the house to the east so they got sun from 6am to 4pm-5pm easy. It was very efficient. Do not use some weak string. Use a hay bale twine with a pound test that is fairly high. These days I use a large orange spool of the bale twine and keep it in an empty cat sand bucket with the twine coming out a hole in the bucket lid. I just leave the bucket out in the garden with a knife in it to cut the twine. I should have put the hole in the side of the bucket, not the lid, because I have to leave the bucket on it side to keep water out of it. You probably don't need that much twine but it has multiple uses and others with larger gardens who try this will want more. Now I use metal fence posts in a larger garden.
Twine
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That set up looks really nice. I tie my tomatoes in the same way, in addition to caging some.
I use lots of baler twine as well as the smaller rolls of brown jute twine to tie stuff up in the garden. I tie my half-runner beans on 7' tall trellised rows using twine.