Prime p₀= 2531861404428762611 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2531859185150274701	0 2 78 80 138 140 198 200 276 278	-2219278487910
SPT(16)	2531859381458044397	0 74 84 92 102 132 144 162 242 260 272 302 312 320 330 404	-2022970718214
SPT(16)	2531859678829388629	0 10 22 40 72 82 100 120 184 204 222 232 264 282 294 304	-1725599373982
SPT(16)	2531860261296142663	0 46 90 118 150 154 196 238 276 318 360 364 396 424 468 514	-1143132619948
SPT(16)	2531861176637115209	0 14 24 144 194 200 234 264 320 350 384 390 440 560 570 584	-227791647402
STPT(10)	2531861273192010449	0 2 18 20 30 32 42 44 60 62	-131236752162
SPT(16)	2531861565367892803	0 30 34 70 84 138 154 156 178 180 196 250 264 300 304 334	160939130192
STPT(10)	2531862054333360347	0 2 30 32 42 44 54 56 84 86	649904597736
SPT(16)	2531862174507621517	0 24 46 64 102 156 162 226 240 304 310 364 402 420 442 466	770078858906
SPT(16)	2531862437109079469	0 72 104 128 150 222 224 272 300 348 350 422 444 468 500 572	1032680316858
STPT(10)	2531863600904967179	0 2 42 44 90 92 138 140 180 182	2196476204568