Hello,  I have a couple questions that will  help me figure this out.  First you said that these spots are rapidly spreading on your plants.  Are the plants dying or do they just look ugly?  Are all leaves affected or is it just new or just old leaves with the spots?  How many tomato plants do you have and are all of them showing the spots?  Are all the plants planted next to each other?  Do you have fruit forming and is there any spotting on the fruit?  Can you send me photos of an entire leaf that is impacted and a photo of a plant that has been impacted? If the fruit is affected please send a picture of that also.  How do you water your plants? Finally have you noticed any insect activity on any of your plants?

The plants are not dying at this point.  The older leaves are affected and the impact starts at the bottom of the plant.  I have 13 plants and they are planted next to each other.  Fruit has formed on all the plants and the fruit does not look to be impacted.  We are already eating fruit from the early ripening tomatoes.  

The picture doesn't really show the total impact.  I could take a few more shots if you think that would help.

Thank you.

Thanks for the additional information and the photo.  I have been exploring different tomato diseases. The symptoms your plants are showing do not match anything I have been able to find disease wise.  I do think however that you may be experiencing damage from thrips. Thrips are extremely small insects that are about 1/20th of an inch long and are not readily visible without magnification. I did find some photos on the web that appear to be similar to the damage on your tomatoes.  One way to find out for sure is to get some yellow sticky traps and place around the plants and see what shows up on the trap.  I have included a website from University of California that discusses thrips and how to monitor for thrips  and also provides some suggested control methods. http://www.ipm.ucdavis.edu/PMG/PESTNOTES/pn7429.html#DAMAGE   The other way to identify these critters would be to take some of your damaged shoot tips and leaves to your county extension office and ask for their assistance to confirm the cause of the damage.  Stippling on leaves is a typical sign of thrip damage.  Another of the tell tale signs of thrip presence is shiny black dots that are actually small specks of feces left behind by the bugs. The first photo you sent in appears to have some black dots on the leaf that could be thrip feces.  If thrips are in fact the problem, the website provided gives some cultural methods of lowering the impact on your plants.  If you are already eating fruit and the fruit shows no damage control may not be needed.  Thrips can carry viruses that do impact the plant and in large numbers thrips can stunt young plants.  Look for distorted tips of shoots and flower damage.  Thrips can be dislodged by spraying the plants with water.  Keeping the area around your plants weed free will help as the thrips are attracted to weeds.  Also avoid excessive application of Nitrogen as they are attracted to quickly growing and tender plant tissue.  Monitor flowers for damage.   Also if the tops and newer growth on your tomato plants are not being damaged it could mean that whatever caused the stippling on the lower leaves is no longer a problem.  I need to stress that you need to positively identify that thrips are in fact the source of the damage.  I hope that this information will help you determine what, if any, action is necessary. 

Thank you.  I will take a cutting into the extension office. It just might be thrips.  

You are welcome.  Take  photos with you.

Just got back from the Extension office.  They looked at the leaves with their microscope and it looks like it is thrips.  I will try removing as much damaged foliage as I can and then will spray with Neem oil.  Hopefully, I can keep the plants healthy enough to ripen all the fruit that is on them.  

Thanks again for your assistance.

Glad to hear that you got a definitive answer!  Hope that you are successful in getting rid of the problem.