Prime p₀= 956972831011102847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: stoneageman
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	956971839767553569	0 14 18 60 68 78 92 98 114 120 134 144 152 194 198 212	-991243549278
SPT(16)	956971848559423331	0 32 38 116 120 150 162 176 192 206 218 248 252 330 336 368	-982451679516
SPT(16)	956971901389185763	0 4 34 46 54 58 60 96 118 154 156 160 168 180 210 214	-929621917084
SPT(16)	956972042718965587	0 46 66 114 142 144 150 184 222 256 262 264 292 340 360 406	-788292137260
STPT(10)	956972789174253737	0 2 12 14 42 44 72 74 84 86	-41836849110
SPT(16)	956972813726683577	0 26 42 66 134 206 222 234 302 314 330 402 470 494 510 536	-17284419270
STPT(10)	956972863229690897	0 2 30 32 102 104 174 176 204 206	32218588050
TPT(14)	956973259141503257	0 2 12 14 90 92 132 134 192 194 342 344 372 374	428130400410
SPT(16)	956973362088369029	0 24 42 62 92 104 120 140 144 164 180 192 222 242 260 284	531077266182
STPT(10)	956973383742888857	0 2 42 44 72 74 102 104 144 146	552731786010
TPT(14)	956973500943400361	0 2 78 80 198 200 288 290 306 308 420 422 456 458	669932297514