Prime p₀= 2606594869706536127 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=82, k=10, 2 10 2 28 2

SPT(16)	2606594122238710441	0 12 18 90 126 132 148 238 270 360 376 382 418 490 496 508	-747467825686
SPT(16)	2606594244521051809	0 10 34 58 162 178 192 204 238 250 264 280 384 408 432 442	-625185484318
STPT(10)	2606594290900189661	0 2 30 32 78 80 126 128 156 158	-578806346466
SPT(16)	2606594313428728853	0 26 110 114 126 146 158 180 284 306 318 338 350 354 438 464	-556277807274
SPT(16)	2606594428363462681	0 16 100 130 172 196 228 250 258 280 312 336 378 408 492 508	-441343073446
SPT(16)	2606594861591729969	0 32 44 72 80 104 132 174 200 242 270 294 302 330 342 374	-8114806158
SPT(16)	2606595484090046539	0 10 34 48 54 94 100 132 160 192 198 238 244 258 282 292	614383510412
SPT(16)	2606595599527605271	0 22 40 46 70 82 166 178 180 192 276 288 312 318 336 358	729821069144
SPT(16)	2606595683218869443	0 14 24 26 30 80 84 96 98 110 114 164 168 170 180 194	813512333316
TPT(14)	2606595804837516629	0 2 102 104 132 134 222 224 228 230 258 260 282 284	935130980502
STPT(10)	2606596077842499551	0 2 6 8 48 50 90 92 96 98	1208135963424