Prime p₀= 2562110956780341467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Penguin
db: batch=82, k=10, 2 52 2 16 2

STPT(10)	2562108864726607319	0 2 12 14 30 32 48 50 60 62	-2092053734148
SPT(16)	2562109223202045701	0 38 48 78 86 90 92 98 150 156 158 162 170 200 210 248	-1733578295766
SPT(16)	2562109531643749151	0 8 30 38 42 78 122 138 182 198 242 278 282 290 312 320	-1425136592316
STPT(12)	2562109653188216777	0 2 60 62 84 86 90 92 114 116 174 176	-1303592124690
SPT(16)	2562110166295754653	0 24 90 106 138 168 204 216 238 250 286 316 348 364 430 454	-790484586814
SPT(16)	2562110349564458321	0 30 68 72 80 110 126 128 210 212 228 258 266 270 308 338	-607215883146
SPT(16)	2562111276625950611	0 42 72 86 90 212 216 240 308 332 336 458 462 476 506 548	319845609144
SPT(16)	2562111303185794219	0 10 60 82 142 150 198 228 304 334 382 390 450 472 522 532	346405452752
STPT(10)	2562111563223635231	0 2 6 8 48 50 90 92 96 98	606443293764
SPT(16)	2562111686741587823	0 20 24 30 98 104 126 138 266 278 300 306 374 380 384 404	729961246356
TPT(14)	2562111814787875277	0 2 54 56 90 92 180 182 210 212 264 266 300 302	858007533810