Prime p₀= 1273417945425297587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: HenkM
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1273416089423967617	0 30 42 50 72 146 170 176 330 336 360 434 456 464 476 506	-1856001329970
SPT(16)	1273416144428496511	0 10 36 108 112 120 130 132 256 258 268 276 280 352 378 388	-1800996801076
SPT(18)	1273416988793764351	0 42 78 118 120 130 162 168 228 232 292 298 330 340 342 382 418 460	-956631533236
STPT(10)	1273417135990274291	0 2 30 32 78 80 126 128 156 158	-809435023296
SPT(16)	1273417280850817799	0 12 14 32 74 138 182 212 240 270 314 378 420 438 440 452	-664574479788
STPT(10)	1273417566921011999	0 2 12 14 90 92 168 170 180 182	-378504285588
SPT(16)	1273418093184602639	0 18 24 54 68 74 120 170 192 242 288 294 308 338 344 362	147759305052
SPT(16)	1273418215739199407	0 14 50 66 104 114 150 174 212 236 272 282 320 336 372 386	270313901820
STPT(10)	1273418258706272849	0 2 18 20 30 32 42 44 60 62	313280975262
STPT(10)	1273418777278357481	0 2 30 32 78 80 126 128 156 158	831853059894
SPT(16)	1273419071964580637	0 96 134 140 150 162 176 270 326 420 434 446 456 462 500 596	1126539283050