Prime p₀= 2713575629712012851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2713572776717039591	0 2 6 8 48 50 90 92 96 98	-2852994973260
SPT(16)	2713573718869993871	0 2 8 42 50 90 92 140 168 216 218 258 266 300 306 308	-1910842018980
SPT(16)	2713574015614306211	0 50 68 96 110 156 198 206 222 230 272 318 332 360 378 428	-1614097706640
SPT(16)	2713575139666486357	0 42 66 70 114 162 220 240 286 306 364 412 456 460 484 526	-490045526494
STPT(10)	2713575353439267011	0 2 30 32 60 62 90 92 120 122	-276272745840
SPT(18)	2713575499327959397	0 46 52 70 106 150 172 190 192 214 216 234 256 300 336 354 360 406	-130384053454
SPT(16)	2713575668689814603	0 36 50 68 90 98 108 134 210 236 246 254 276 294 308 344	38977801752
STPT(10)	2713576206620079629	0 2 48 50 90 92 132 134 180 182	576908066778
STPT(10)	2713576504249145831	0 2 6 8 18 20 30 32 36 38	874537132980
SPT(16)	2713576539899159267	0 6 12 20 32 42 54 92 144 182 194 204 216 224 230 236	910187146416
STPT(10)	2713576661473289147	0 2 30 32 42 44 54 56 84 86	1031761276296