A007693 Primes p such that 6*p + 1 is also prime.  

Residue counts:
2   [1, 14435]
3   [1, 7245, 7190]
4   [0, 7276, 1, 7159]
5   [1, 4774, 4798, 4863, 0]
6   [0, 7245, 1, 1, 0, 7189]
7   [1, 0, 2865, 2917, 2920, 2830, 2903]
8   [0, 3620, 1, 3588, 0, 3656, 0, 3571]
9   [0, 2432, 2371, 1, 2407, 2391, 0, 2406, 2428]
10   [0, 4774, 1, 4863, 0, 1, 0, 4797, 0, 0]
11   [1, 1576, 1582, 1612, 1612, 1593, 1601, 1609, 1640, 0, 1610]
12   [0, 3658, 1, 1, 0, 3618, 0, 3587, 0, 0, 0, 3571]


Noisy like other sequences of primes. Not as much of as much of a high frequency screech as other prime sequences.
First notable spectrogram band around 1470 (44100/30).

-- Joeph Rafael