Prime p₀= 2135273702039566337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Time_Traveler
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2135272806611519011	0 6 48 52 66 90 120 166 192 238 268 292 306 310 352 358	-895428047326
STPT(10)	2135272897073026937	0 2 30 32 72 74 114 116 144 146	-804966539400
SPT(16)	2135272945552649953	0 30 88 100 108 130 166 180 226 240 276 298 306 318 376 406	-756486916384
SPT(16)	2135273569927513511	0 12 38 66 86 90 122 138 140 156 188 192 212 240 266 278	-132112052826
SPT(16)	2135273672386204639	0 22 102 108 120 144 160 172 300 312 328 352 364 370 450 472	-29653361698
TPT(14)	2135273688922060697	0 2 24 26 84 86 132 134 150 152 162 164 204 206	-13117505640
SPT(16)	2135273770976796469	0 18 34 40 82 118 132 144 148 160 174 210 252 258 274 292	68937230132
STPT(10)	2135274263705389907	0 2 60 62 72 74 84 86 144 146	561665823570
SPT(16)	2135274881057332453	0 28 46 76 88 130 136 150 274 288 294 336 348 378 396 424	1179017766116
STPT(10)	2135274887999933651	0 2 30 32 168 170 306 308 336 338	1185960367314
SPT(20)	2135274949354275767	0 90 110 132 176 254 264 294 302 342 344 384 392 422 432 510 554 576 596 686	1247314709430