Prime p₀= 1252999859036290637 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: mikey
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1252998570508594487	0 12 26 56 84 134 140 144 152 156 162 212 240 270 284 296	-1288527696150
TPT(14)	1252999231769131877	0 2 120 122 162 164 240 242 252 254 324 326 372 374	-627267158760
SPT(16)	1252999280754524671	0 88 102 130 132 148 156 222 316 382 390 406 408 436 450 538	-578281765966
SPT(16)	1252999381870795057	0 4 16 36 42 90 142 154 162 174 226 274 280 300 312 316	-477165495580
SPT(16)	1252999409502698999	0 14 42 74 78 102 144 170 282 308 350 374 378 410 438 452	-449533591638
SPT(16)	1252999687129067327	0 24 32 60 120 140 150 162 164 176 186 206 266 294 302 326	-171907223310
STPT(10)	1252999967936952581	0 2 66 68 108 110 150 152 216 218	108900661944
STPT(10)	1253000338004219417	0 2 30 32 42 44 54 56 84 86	478967928780
SPT(16)	1253000528670630277	0 96 114 150 154 172 184 186 220 222 234 252 256 292 310 406	669634339640
SPT(16)	1253000722019000221	0 10 16 66 112 172 196 208 210 222 246 306 352 402 408 418	862982709584
TPT(14)	1253001036975472661	0 2 60 62 186 188 216 218 246 248 270 272 288 290	1177939182024