Prime p₀= 2114324740843116257 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2114323842024665729	0 24 72 78 98 110 128 164 168 204 222 234 254 260 308 332	-898818450528
STPT(10)	2114324064734915309	0 2 48 50 90 92 132 134 180 182	-676108200948
SPT(16)	2114324220013365161	0 18 20 36 48 60 146 176 222 252 338 350 362 378 380 398	-520829751096
STPT(10)	2114324285093024957	0 2 30 32 42 44 54 56 84 86	-455750091300
STPT(10)	2114324497347168707	0 2 30 32 42 44 54 56 84 86	-243495947550
SPT(16)	2114324579715183037	0 16 24 30 42 46 72 94 132 154 180 184 196 202 210 226	-161127933220
STPT(10)	2114324825899553039	0 2 48 50 90 92 132 134 180 182	85056436782
STPT(10)	2114324894613441467	0 2 24 26 42 44 60 62 84 86	153770325210
SPT(16)	2114324940550550641	0 16 46 60 72 132 156 166 216 226 250 310 322 336 366 382	199707434384
SPT(16)	2114324950138143683	0 30 44 54 56 78 80 114 230 264 266 288 290 300 314 344	209295027426
SPT(16)	2114324984932324303	0 6 34 76 130 144 184 198 226 240 280 294 348 390 418 424	244089208046