Prime permutations

The arithmetic sequence, \( 1487 \), \( 4817 \), \( 8147 \), in which each of the terms increases by \( 3330 \), is unusual in two ways: (i) each of the three terms are prime, and, (ii) each of the \( 4 \)-digit numbers are permutations of one another.

There are no arithmetic sequences made up of three \( 1 \)-, \( 2 \)-, or \( 3 \)-digit primes, exhibiting this property, but there is one other \( 4 \)-digit increasing sequence.

What \( 12 \)-digit number do you form by concatenating the three terms in this sequence?