Prime p₀= 2268083210888777057 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: JayPi
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2268081707715167599	0 82 112 204 210 264 274 288 334 348 358 412 418 510 540 622	-1503173609458
STPT(10)	2268081806987006609	0 2 18 20 30 32 42 44 60 62	-1403901770448
SPT(16)	2268081849884026859	0 8 50 60 68 74 90 132 140 182 198 204 212 222 264 272	-1361004750198
SPT(16)	2268082702500646607	0 86 156 162 176 186 206 212 240 246 266 276 290 296 366 452	-508388130450
SPT(16)	2268082921173340879	0 12 24 84 88 100 112 142 180 210 222 234 238 298 310 322	-289715436178
SPT(16)	2268083000673526199	0 30 38 78 80 108 132 182 198 248 272 300 302 342 350 380	-210215250858
SPT(16)	2268083499701560351	0 46 72 100 172 252 262 298 390 426 436 516 588 616 642 688	288812783294
STPT(10)	2268083506173084947	0 2 12 14 42 44 72 74 84 86	295284307890
SPT(16)	2268083647167829109	0 14 80 108 110 150 168 194 264 290 308 348 350 378 444 458	436279052052
STPT(10)	2268084379280381021	0 2 6 8 48 50 90 92 96 98	1168391603964
STPT(10)	2268084404815322909	0 2 12 14 30 32 48 50 60 62	1193926545852