Prime p₀= 2680305963685087259 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: JonS
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2680304021708759987	0 2 30 32 72 74 114 116 144 146	-1941976327272
STPT(10)	2680304096856553379	0 2 18 20 60 62 102 104 120 122	-1866828533880
STPT(10)	2680304462619777767	0 2 54 56 72 74 90 92 144 146	-1501065309492
SPT(16)	2680304756562279487	0 90 132 156 210 214 280 292 384 396 462 466 520 544 586 676	-1207122807772
SPT(16)	2680304784262555081	0 30 36 106 118 132 136 202 276 342 346 360 372 442 448 478	-1179422532178
SPT(18)	2680305011889843691	0 40 58 70 162 202 250 286 300 358 372 408 456 496 588 600 618 658	-951795243568
STPT(10)	2680306340363129297	0 2 30 32 42 44 54 56 84 86	376678042038
SPT(16)	2680306467890948387	0 14 24 54 66 84 164 200 270 306 386 404 416 446 456 470	504205861128
SPT(16)	2680306551126774629	0 2 8 12 24 54 80 122 180 222 248 278 290 294 300 302	587441687370
STPT(10)	2680306577397781271	0 2 36 38 78 80 120 122 156 158	613712694012
SPT(16)	2680306696214504881	0 12 28 40 58 82 90 108 142 160 168 192 210 222 238 250	732529417622