Prime p₀= 2161411286164629839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2161410099837947303	0 20 24 44 56 80 86 108 146 168 174 198 210 230 234 254	-1186326682536
STPT(10)	2161410838677891221	0 2 36 38 78 80 120 122 156 158	-447486738618
SPT(16)	2161410875510867293	0 10 34 36 48 66 70 76 78 84 88 106 118 120 144 154	-410653762546
STPT(10)	2161410934280945489	0 2 18 20 30 32 42 44 60 62	-351883684350
STPT(10)	2161410976208005349	0 2 42 44 60 62 78 80 120 122	-309956624490
SPT(16)	2161411135354450817	0 36 54 80 84 92 104 146 180 222 234 242 246 272 290 326	-150810179022
SPT(16)	2161411347211887907	0 36 96 162 166 180 190 234 292 336 346 360 364 430 490 526	61047258068
STPT(10)	2161411477183838021	0 2 6 8 18 20 30 32 36 38	191019208182
STPT(10)	2161411541693117771	0 2 30 32 78 80 126 128 156 158	255528487932
SPT(16)	2161412126275967623	0 28 78 88 90 100 108 136 168 196 204 214 216 226 276 304	840111337784
STPT(10)	2161412209273261127	0 2 30 32 42 44 54 56 84 86	923108631288