Prime p₀= 2534268789383701217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Rantanplan
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2534267672308993823	0 44 60 66 80 86 108 144 170 206 228 234 248 254 270 314	-1117074707394
SPT(16)	2534267836848830441	0 20 30 38 56 86 140 146 150 156 210 240 258 266 276 296	-952534870776
SPT(16)	2534267837434885913	0 14 18 44 60 96 114 126 128 140 158 194 210 236 240 254	-951948815304
STPT(10)	2534268151529814767	0 2 12 14 72 74 132 134 144 146	-637853886450
STPT(10)	2534268373372113797	0 2 12 14 42 44 72 74 84 86	-416011587420
STPT(10)	2534268579494123777	0 2 84 86 132 134 180 182 264 266	-209889577440
SPT(16)	2534268812203283497	0 34 40 90 124 144 166 172 294 300 322 342 376 426 432 466	22819582280
SPT(16)	2534268911328475001	0 20 32 36 102 150 162 218 240 296 308 356 422 426 438 458	121944773784
SPT(16)	2534269013624368789	0 60 70 88 90 178 234 268 270 304 360 448 450 468 478 538	224240667572
SPT(16)	2534269286947410139	0 4 10 52 54 64 84 124 168 208 228 238 240 282 288 292	497563708922
TPT(14)	2534270718980137601	0 2 6 8 36 38 48 50 60 62 78 80 126 128	1929596436384