Prime p₀= 2491571671996357757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	2491569875396429519	0 42 48 60 90 108 110 150 182 222 224 242 272 284 290 332	-1796599928238
STPT(10)	2491570148571649097	0 2 30 32 42 44 54 56 84 86	-1523424708660
STPT(10)	2491570283230031189	0 2 18 20 30 32 42 44 60 62	-1388766326568
SPT(16)	2491570319851732127	0 84 144 152 182 192 204 206 240 242 254 264 294 302 362 446	-1352144625630
STPT(10)	2491570997843643839	0 2 12 14 30 32 48 50 60 62	-674152713918
TPT(16)	2491571444949396767	0 2 72 74 150 152 180 182 240 242 312 314 324 326 354 356	-227046960990
SPT(16)	2491572229286147537	0 36 50 62 74 102 116 126 140 150 164 192 204 216 230 266	557289789780
SPT(16)	2491572246301932181	0 22 48 76 90 136 168 192 286 310 342 388 402 430 456 478	574305574424
SPT(16)	2491572307904264759	0 18 38 144 150 158 168 192 230 254 264 272 278 384 404 422	635907907002
STPT(10)	2491572514425562619	0 2 18 20 30 32 42 44 60 62	842429204862
SPT(16)	2491572569720908361	0 6 8 18 48 156 296 308 360 372 512 620 650 660 662 668	897724550604