Well, that contradicts the original definition - "no prime substrings" (of any length). That's too many forks on the road - for my taste. I am searching for large members in
http://oeis.org/classic/A033274 with near-repdigit property.
Also, there's no such sequence "Primes that do not contain any other primes as a substring
longer than one digit*" (it would have contained
1009,1021,1049,1051,1063 )... but this of course can be solved, too, per se, and with near-repdigit property.
*or insert another description of an exemption