Prime p₀= 2872259586444837101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 130 2 130 2 34 2 (?)
a_n: 0 2 36 38 168 170 300 302 336 338
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: 338
Found by: Odd-Rod
db: batch=82, k=10, 2 34 2 130 2

SPT(20)	2872258468699040411	0 2 6 20 116 168 170 182 228 240 338 350 396 408 410 462 558 572 576 578	-1117745796690
TPT(16)	2872258636749183599	0 2 12 14 30 32 108 110 210 212 240 242 282 284 372 374	-949695653502
SPT(16)	2872258999148194193	0 30 90 98 116 126 156 170 186 200 230 240 258 266 326 356	-587296642908
STPT(10)	2872259025967194509	0 2 48 50 60 62 72 74 120 122	-560477642592
SPT(16)	2872259294893653473	0 8 30 48 54 86 120 128 186 194 228 260 266 284 306 314	-291551183628
TPT(14)	2872259301253392707	0 2 42 44 54 56 114 116 282 284 360 362 390 392	-285191444394
SPT(16)	2872259732607079429	0 24 42 58 82 102 108 130 222 244 250 270 294 310 328 352	146162242328
STPT(10)	2872259959566779519	0 2 48 50 90 92 132 134 180 182	373121942418
STPT(10)	2872260947018296577	0 2 42 44 72 74 102 104 144 146	1360573459476
SPT(16)	2872261107655917697	0 12 66 82 142 150 202 256 306 360 412 420 480 496 550 562	1521211080596
SPT(16)	2872261436448816029	0 50 72 78 134 140 210 234 308 332 402 408 464 470 492 542	1850003978928