Prime p₀= 2171636039324641007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2171633708672660543	0 84 120 128 134 168 204 230 234 260 296 330 336 344 380 464	-2330651980464
SPT(16)	2171634017938594163	0 38 78 80 110 114 140 168 206 234 260 264 294 296 336 374	-2021386046844
STPT(10)	2171634219127973651	0 2 6 8 18 20 30 32 36 38	-1820196667356
SPT(16)	2171634560720339189	0 24 30 48 72 80 90 104 168 182 192 200 224 242 248 272	-1478604301818
SPT(18)	2171635135024253399	0 30 42 62 68 98 114 132 264 338 470 488 504 534 540 560 572 602	-904300387608
SPT(16)	2171635378344841021	0 30 78 88 90 100 132 162 166 196 228 238 240 250 298 328	-660979799986
TPT(14)	2171636203280559317	0 2 12 14 42 44 162 164 252 254 324 326 330 332	163955918310
STPT(10)	2171636408940578549	0 2 12 14 30 32 48 50 60 62	369615937542
STPT(10)	2171636501968039439	0 2 12 14 90 92 168 170 180 182	462643398432
TPT(14)	2171636722559624729	0 2 48 50 90 92 132 134 138 140 342 344 378 380	683234983722
SPT(16)	2171637007847251327	0 4 34 60 102 106 120 172 234 286 300 304 346 372 402 406	968522610320