Prime p₀= 3006514134136627529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: MarkRBright
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3006512241040814119	0 40 138 162 172 174 204 210 292 298 328 330 340 364 462 502	-1893095813410
SPT(16)	3006512346919871057	0 20 32 72 74 114 116 144 272 300 302 342 344 384 396 416	-1787216756472
SPT(16)	3006512527767467437	0 6 24 60 112 136 186 214 252 280 330 354 406 442 460 466	-1606369160092
SPT(16)	3006512930563462163	0 74 86 90 114 116 126 140 174 188 198 200 224 228 240 314	-1203573165366
SPT(16)	3006513669705648001	0 12 28 30 78 120 130 132 238 240 250 292 340 342 358 370	-464430979528
SPT(16)	3006513846284681179	0 12 28 58 84 160 172 220 342 390 402 478 504 534 550 562	-287851946350
TPT(14)	3006514867851089807	0 2 60 62 84 86 90 92 120 122 144 146 174 176	733714462278
STPT(10)	3006514874219401211	0 2 30 32 120 122 210 212 240 242	740082773682
STPT(10)	3006515317544928899	0 2 48 50 90 92 132 134 180 182	1183408301370
SPT(16)	3006515638562704907	0 2 14 20 30 42 66 72 74 80 104 116 126 132 144 146	1504426077378
SPT(16)	3006516020884176259	0 28 84 88 90 118 132 154 288 310 324 352 354 358 414 442	1886747548730