Prime p₀= 2780570735429699657 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

STPT(10)	2780568955980512309	0 2 18 20 30 32 42 44 60 62	-1779449187348
STPT(10)	2780569152333055271	0 2 138 140 168 170 198 200 336 338	-1583096644386
TPT(14)	2780569205209190609	0 2 168 170 198 200 240 242 282 284 300 302 342 344	-1530220509048
SPT(16)	2780569304990776361	0 18 72 108 110 122 126 138 200 212 216 228 230 266 320 338	-1430438923296
SPT(16)	2780569945383090071	0 26 32 38 66 78 168 212 276 320 410 422 450 456 462 488	-790046609586
SPT(16)	2780570057849502649	0 30 54 64 78 84 100 112 120 132 148 154 168 178 202 232	-677580197008
SPT(16)	2780570846547296353	0 46 88 96 168 178 210 228 238 256 288 298 370 378 420 466	111117596696
SPT(16)	2780570876634498499	0 18 30 40 48 132 160 184 198 222 250 334 342 352 364 382	141204798842
SPT(16)	2780571055183802579	0 18 44 72 74 80 98 102 110 114 132 138 140 168 194 212	319754102922
STPT(10)	2780571141726758201	0 2 6 8 48 50 90 92 96 98	406297058544
SPT(16)	2780571445954963459	0 22 42 52 88 120 138 144 148 154 172 204 240 250 270 292	710525263802