Prime p₀= 2037776334816284729 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2037775374185165357	0 2 30 32 42 44 54 56 84 86	-960631119372
STPT(10)	2037775541253367829	0 2 12 14 90 92 168 170 180 182	-793562916900
SPT(16)	2037775605586857761	0 60 72 98 128 150 176 182 186 192 218 240 270 296 308 368	-729229426968
SPT(16)	2037775972290632789	0 50 68 78 90 152 158 168 194 204 210 272 284 294 312 362	-362525651940
SPT(16)	2037776028398660551	0 46 52 70 78 82 102 108 250 256 276 280 288 306 312 358	-306417624178
SPT(16)	2037776092138840789	0 4 28 54 168 192 204 220 222 238 250 274 388 414 438 442	-242677443940
STPT(10)	2037776652748986179	0 2 30 32 60 62 90 92 120 122	317932701450
STPT(10)	2037777238175163227	0 2 30 32 42 44 54 56 84 86	903358878498
SPT(16)	2037777890456342087	0 20 30 86 104 114 146 170 186 210 242 252 270 326 336 356	1555640057358
SPT(16)	2037777951124800221	0 36 108 150 152 162 186 200 228 242 266 276 278 320 392 428	1616308515492
SPT(16)	2037778054397529839	0 42 48 50 92 108 134 182 300 348 374 390 432 434 440 482	1719581245110