Prime p₀= 2128468643576811059 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: gemini8
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2128466442067483247	0 2 144 146 162 164 294 296 312 314 372 374 384 386	-2201509327812
SPT(16)	2128467083084312701	0 42 58 106 112 142 148 178 210 240 246 276 282 330 346 388	-1560492498358
STPT(10)	2128467230051252261	0 2 66 68 108 110 150 152 216 218	-1413525558798
STPT(10)	2128467477035892647	0 2 12 14 72 74 132 134 144 146	-1166540918412
SPT(16)	2128467979158560471	0 6 68 92 98 176 210 266 312 368 402 480 486 510 572 578	-664418250588
SPT(16)	2128468354530698633	0 8 38 48 68 90 138 144 224 230 278 300 320 330 360 368	-289046112426
SPT(16)	2128468769252253859	0 4 34 82 90 100 112 114 268 270 282 292 300 348 378 382	125675442800
TPT(14)	2128468817747176769	0 2 12 14 42 44 60 62 132 134 168 170 210 212	174170365710
TPT(14)	2128469236050178871	0 2 48 50 66 68 78 80 126 128 168 170 180 182	592473367812
SPT(16)	2128469256233068477	0 42 72 94 120 136 154 156 190 192 210 226 252 274 304 346	612656257418
TPT(14)	2128469490678312029	0 2 78 80 108 110 120 122 138 140 180 182 222 224	847101500970