05AB1E, 22 19 18 bytes (-1 @Riley)

[NØ©S¹Kg0Q®g²Q&i®q 

Try it online!

[  # infinite loop. NØ©  # push nth prime. S¹Kg0Q  # see if, without banned digits, it's 0 length. ®g²Q&  # see if, it is originally also the length specified. i®,q # if true, print result and exit. 

05AB1E, 22 19 18 bytes (-1 @Riley)

[NØ©S¹Kg0Q®g²Q&i®q 

Try it online!

[ # infinite loop. NØ© # push nth prime. S¹Kg0Q # see if, without banned digits, it's 0 length. ®g²Q& # see if, it is originally also the length specified. i®q # if true, print result and exit. 

05AB1E, 22 19 bytes

[NØ©S¹Kg0Q®g²Q&i®,q 

Try it online!

[ # infinite loop. NØ© # push nth prime. S¹Kg0Q # see if, without banned digits, it's 0 length. ®g²Q& # see if, it is originally also the length specified. i®,q # if true, print result and exit. 

05AB1E, 22 19 18 bytes (-1 @Riley)

[NØ©S¹Kg0Q®g²Q&i®q 

Try it online!

[ # infinite loop. NØ© # push nth prime. S¹Kg0Q # see if, without banned digits, it's 0 length. ®g²Q& # see if, it is originally also the length specified. i®,q # if true, print result and exit. 

05AB1E, 22 19 bytes

[NØ©S¹Kg0Q®g²Q&i®,q 

Try it online!

05AB1E, 22 19 bytes

[NØ©S¹Kg0Q®g²Q&i®,q 

Try it online!

[ # infinite loop. NØ© # push nth prime. S¹Kg0Q # see if, without banned digits, it's 0 length. ®g²Q& # see if, it is originally also the length specified. i®,q # if true, print result and exit.