Prime p₀= 816497153397776957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG]FX
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	816496021419718177	0 42 82 102 114 156 174 186 250 262 280 322 334 354 394 436	-1131978058780
SPT(16)	816496314770279089	0 34 52 100 168 174 202 204 358 360 388 394 462 510 528 562	-838627497868
STPT(10)	816496395093168197	0 2 42 44 72 74 102 104 144 146	-758304608760
SPT(16)	816496699807678003	0 10 28 30 46 48 60 126 220 286 298 300 316 318 336 346	-453590098954
TPT(14)	816496729394142191	0 2 36 38 48 50 90 92 126 128 150 152 246 248	-424003634766
STPT(10)	816496992585083111	0 2 30 32 78 80 126 128 156 158	-160812693846
STPT(10)	816497234716870319	0 2 18 20 30 32 42 44 60 62	81319093362
SPT(16)	816497475169865831	0 12 20 42 56 110 140 216 272 348 378 432 446 468 476 488	321772088874
SPT(16)	816497602527412007	0 116 182 192 206 224 242 270 356 384 402 420 434 444 510 626	449129635050
SPT(16)	816497811215119069	0 4 72 84 102 112 124 144 148 168 180 190 208 220 288 292	657817342112
TPT(14)	816497838412728677	0 2 84 86 132 134 252 254 384 386 414 416 462 464	685014951720