Prime p₀= 2309775038646918527 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: FritzB
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2309773272259903129	0 10 30 64 102 114 154 172 210 228 268 280 318 352 372 382	-1766387015398
SPT(16)	2309773597188082807	0 4 22 46 52 66 112 150 166 204 250 264 270 294 312 316	-1441458835720
TPT(14)	2309773836819719087	0 2 30 32 72 74 102 104 114 116 180 182 270 272	-1201827199440
SPT(16)	2309774255969752181	0 18 32 96 98 102 128 152 156 180 206 210 212 276 290 308	-782677166346
STPT(10)	2309774317481972249	0 2 18 20 30 32 42 44 60 62	-721164946278
TPT(14)	2309774414587189619	0 2 18 20 168 170 180 182 192 194 198 200 222 224	-624059728908
SPT(16)	2309775380513014651	0 6 12 30 46 96 138 142 156 160 202 252 268 286 292 298	341866096124
STPT(10)	2309776037059226507	0 2 30 32 72 74 114 116 144 146	998412307980
SPT(16)	2309776056695038423	0 30 46 64 88 126 144 150 154 160 178 216 240 258 274 304	1018048119896
SPT(16)	2309776238053127093	0 24 38 48 84 98 108 134 150 176 186 200 236 246 260 284	1199406208566
STPT(10)	2309776360462962359	0 2 42 44 90 92 138 140 180 182	1321816043832