Prime p₀= 2082638435738599337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: arkiss
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2082637881967021627	0 30 34 36 84 156 184 222 304 342 370 442 490 492 496 526	-553771577710
SPT(16)	2082637972730255663	0 6 78 86 104 108 116 120 254 258 266 270 288 296 368 374	-463008343674
SPT(16)	2082638031079998781	0 82 96 112 142 198 208 210 268 270 280 336 366 382 396 478	-404658600556
SPT(16)	2082638079846138179	0 72 74 98 114 140 164 170 222 228 252 278 294 318 320 392	-355892461158
STPT(10)	2082638290234237829	0 2 18 20 30 32 42 44 60 62	-145504361508
STPT(10)	2082638304980173307	0 2 90 92 132 134 174 176 264 266	-130758426030
STPT(10)	2082639210844956851	0 2 6 8 48 50 90 92 96 98	775106357514
SPT(16)	2082639739950090031	0 18 40 100 120 130 142 228 352 438 450 460 480 540 562 580	1304211490694
SPT(16)	2082639826747408501	0 40 42 82 102 132 166 172 216 222 256 286 306 346 348 388	1391008809164
STPT(10)	2082640119912301799	0 2 12 14 90 92 168 170 180 182	1684173702462
STPT(10)	2082640376066056949	0 2 18 20 30 32 42 44 60 62	1940327457612