Prime p₀= 2538219096872909027 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2538217954736675929	0 18 28 58 100 154 160 174 238 252 258 312 354 384 394 412	-1142136233098
SPT(16)	2538218086379777957	0 2 84 126 194 254 282 302 354 374 402 462 530 572 654 656	-1010493131070
SPT(16)	2538218406266198639	0 20 42 48 60 62 120 132 188 200 258 260 272 278 300 320	-690606710388
SPT(16)	2538218535476703727	0 22 60 82 174 246 280 334 372 426 460 532 624 646 684 706	-561396205300
STPT(10)	2538218582614335497	0 2 30 32 60 62 90 92 120 122	-514258573530
STPT(12)	2538218930614389707	0 2 42 44 60 62 84 86 102 104 144 146	-166258519320
SPT(16)	2538219922165183547	0 26 96 102 114 126 146 152 174 180 200 212 224 230 300 326	825292274520
SPT(16)	2538219986270154337	0 6 12 42 72 90 144 162 264 282 336 354 384 414 420 426	889397245310
STPT(10)	2538219996648595937	0 2 60 62 72 74 84 86 144 146	899775686910
SPT(16)	2538220077780784037	0 56 60 72 86 102 110 116 180 186 194 210 224 236 240 296	980907875010
SPT(16)	2538220934336753987	0 2 12 54 102 104 126 156 170 200 222 224 272 314 324 326	1837463844960