Prime Pandigital Step Numbers

A step number is a number whose digits are in ascending order
For example : $1223455567$ is a step number

A pandigital step number is a step number which contains all digits (except 0) at least once
For example : $1122345556777899$ is a pandigital step number

Find the smallest $(S)$ and largest $(L)$ 30-digits prime pandigital step numbers

Answer format: S,L


Example: 111111111111223456789,123456777788888888899 // For 21 digts

[My timing: 65 sec]