Prime p₀= 2317899861685097717 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2317898717344228729	0 28 40 54 120 162 168 184 228 244 250 292 358 372 384 412	-1144340868988
SPT(16)	2317898802179817317	0 14 30 62 74 80 84 140 174 230 234 240 252 284 300 314	-1059505280400
SPT(16)	2317899072756192637	0 4 34 52 84 126 130 160 186 216 220 262 294 312 342 346	-788928905080
STPT(10)	2317899287894661431	0 2 36 38 78 80 120 122 156 158	-573790436286
SPT(16)	2317899643049939983	0 24 34 118 180 216 220 234 310 324 328 364 426 510 520 544	-218635157734
STPT(10)	2317899703134358151	0 2 6 8 48 50 90 92 96 98	-158550739566
STPT(10)	2317899948180542027	0 2 30 32 42 44 54 56 84 86	86495444310
TPT(14)	2317900618061237927	0 2 12 14 42 44 54 56 90 92 102 104 210 212	756376140210
SPT(16)	2317900666331655479	0 32 44 68 72 74 84 90 182 188 198 200 204 228 240 272	804646557762
SPT(16)	2317900909103279789	0 18 50 78 102 108 122 164 168 210 224 230 254 282 314 332	1047418182072
SPT(16)	2317900947108197471	0 30 62 66 96 126 128 140 198 210 212 242 272 276 308 338	1085423099754