Prime p₀= 3017731181738866517 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: Asgard2022
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3017729418718357129	0 28 78 94 138 150 190 208 264 282 322 334 378 394 444 472	-1763020509388
SPT(16)	3017729456462855839	0 82 112 132 144 162 174 190 234 250 262 280 292 312 342 424	-1725276010678
STPT(10)	3017729533010519357	0 2 30 32 60 62 90 92 120 122	-1648728347160
SPT(16)	3017729761064420861	0 30 42 60 62 96 128 156 242 270 302 336 338 356 368 398	-1420674445656
STPT(10)	3017730842024134931	0 2 30 32 60 62 90 92 120 122	-339714731586
STPT(10)	3017731081477649987	0 2 90 92 102 104 114 116 204 206	-100261216530
SPT(16)	3017731382221610809	0 24 34 100 102 154 160 174 178 192 198 250 252 318 328 352	200482744292
SPT(16)	3017731389400373743	0 10 34 66 96 136 160 166 294 300 324 364 394 426 450 460	207661507226
SPT(16)	3017731426896404651	0 20 66 72 116 132 140 156 182 198 206 222 266 272 318 338	245157538134
SPT(16)	3017731522872440641	0 40 42 66 70 82 108 112 126 130 156 168 172 196 198 238	341133574124
TPT(14)	3017731558459628999	0 2 240 242 282 284 288 290 312 314 372 374 438 440	376720762482