Prime p₀= 2301802586014439537 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2301801396906042041	0 2 6 8 48 50 90 92 96 98	-1189108397496
SPT(16)	2301801505947599641	0 96 112 156 166 208 226 238 270 282 300 342 352 396 412 508	-1080066839896
SPT(16)	2301801690471846361	0 12 18 36 52 78 88 100 108 120 130 156 172 190 196 208	-895542593176
STPT(10)	2301801992213830859	0 2 18 20 30 32 42 44 60 62	-593800608678
STPT(10)	2301802158859214897	0 2 54 56 72 74 90 92 144 146	-427155224640
STPT(10)	2301802375872799799	0 2 18 20 30 32 42 44 60 62	-210141639738
SPT(16)	2301802673836185523	0 66 126 138 178 210 216 226 258 268 274 306 346 358 418 484	87821745986
STPT(10)	2301803164176298631	0 2 36 38 78 80 120 122 156 158	578161859094
SPT(16)	2301803672696004689	0 44 62 84 108 120 134 158 174 198 212 224 248 270 288 332	1086681565152
SPT(16)	2301804306559710053	0 30 78 90 150 168 170 210 254 294 296 314 374 386 434 464	1720545270516
STPT(10)	2301804403456879637	0 2 30 32 42 44 54 56 84 86	1817442440100