Prime p₀= 2014972326854505827 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: Chooka
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2014970737043924057	0 2 30 32 72 74 114 116 144 146	-1589810581770
STPT(10)	2014971010763128037	0 2 42 44 72 74 102 104 144 146	-1316091377790
SPT(16)	2014971044415556819	0 48 54 78 114 142 144 160 252 268 270 298 334 358 364 412	-1282438949008
SPT(16)	2014971232889041507	0 6 10 36 126 132 160 202 210 252 280 286 376 402 406 412	-1093965464320
SPT(16)	2014971769398629179	0 4 42 52 94 102 112 130 144 162 172 180 222 232 270 274	-557455876648
SPT(16)	2014971885070493233	0 34 118 124 234 250 258 264 280 286 294 310 420 426 510 544	-441784012594
STPT(10)	2014972420330688627	0 2 12 14 72 74 132 134 144 146	93476182800
SPT(16)	2014972448438463197	0 12 24 32 50 84 92 132 194 234 242 276 294 302 314 326	121583957370
STPT(10)	2014972455367970237	0 2 42 44 72 74 102 104 144 146	128513464410
SPT(16)	2014972512458607707	0 20 26 66 120 122 180 200 252 272 330 332 386 426 432 452	185604101880
SPT(16)	2014973214381202919	0 2 30 32 54 72 84 198 254 368 380 398 420 422 450 452	887526697092