Prime p₀= 2315921660847950567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2315918960962965601	0 6 40 112 180 202 228 246 262 280 306 328 396 468 502 508	-2699884984966
SPT(16)	2315919819596784329	0 8 54 80 132 164 188 218 234 264 288 320 372 398 444 452	-1841251166238
SPT(13)	2315920139396670901	0 66 78 96 108 120 138 156 168 180 198 210 276	-1521451279666
STPT(10)	2315920681177759079	0 2 48 50 90 92 132 134 180 182	-979670191488
STPT(10)	2315920736012824481	0 2 30 32 78 80 126 128 156 158	-924835126086
SPT(16)	2315921290228989019	0 22 40 52 54 58 82 84 148 150 174 178 180 192 210 232	-370618961548
SPT(16)	2315921832391701847	0 22 46 52 54 82 124 144 322 342 384 412 414 420 444 466	171543751280
SPT(16)	2315922443764206973	0 10 48 66 124 174 180 208 246 274 280 330 388 406 444 454	782916256406
SPT(16)	2315922913181748667	0 4 42 60 84 136 186 216 220 250 300 352 376 394 432 436	1252333798100
SPT(16)	2315923110272448889	0 4 10 18 84 108 120 130 192 202 214 238 304 312 318 322	1449424498322
STPT(10)	2315923140653065079	0 2 12 14 90 92 168 170 180 182	1479805114512