Safety Violations

You should be fine. Don't let others intimidate you. There's always a company willing to hire if they like the first impression and you say all the right things

 

Keep in mind that some of the larger companies want OTR experience somewhere in your background. Do you have any? Were you pulling full combo tanks? We could probably help with more info, including your location, O/P.
Maybe then, @Chinatown can bounce you some suggestions.
Good luck, Be safe.

 

Oh my god you didn't put cones out, shame on you.

You'll never work again.

Seriously though, as a fleet owner, I would not ever consider this as part of the app process, may ask you what happened but overall it is not a show stopper for a job.

 

^^^ I'm not an O/O, but I agree. Yes, it was a mis-step, but not a show-stopper. As long as nobody rear-ended you as a result of lacking cones, I don't see it as the huge deal they are making it out to be. Did they DAC you on it?

 

The DAC report provides information on the period of service, equipment operated, loads hauled, driver status and experience, reason for leaving, rehire eligibility, number of accidents with accident detail, drug and alcohol histories including pre-employment test results, and truck driving school performance records.
More here:
http://www.hireright.com/transportation/solutions/verifications/dac-report-employment-history-file

 

You're welcome, man. And I do here, in Ohio....but that won't help you in Texas. Try this website:
http://work.chron.com/list-allowed-violations-truck-driver-jobs-27456.html

but until you really see what's on your DAC, I would just start applying like crazy, especially in Tanker, since that's where you have experience. Like Ridgleline said, it may not be as serious as you are fearing.