Prime p₀= 2785053885781103537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2785052173602733913	0 6 14 20 30 74 104 126 284 306 336 380 390 396 404 410	-1712178369624
SPT(16)	2785052378266992739	0 10 52 112 142 174 180 202 240 262 268 300 330 390 432 442	-1507514110798
SPT(16)	2785052476628053237	0 12 36 40 82 102 130 180 322 372 400 420 462 466 490 502	-1409153050300
STPT(12)	2785052765409579227	0 2 12 14 54 56 180 182 222 224 234 236	-1120371524310
SPT(16)	2785052777294390093	0 8 66 74 134 140 150 186 218 254 264 270 330 338 396 404	-1108486713444
SPT(16)	2785052987946428159	0 20 24 30 42 80 120 132 200 212 252 290 302 308 312 332	-897834675378
STPT(10)	2785054075628260529	0 2 18 20 30 32 42 44 60 62	189847156992
STPT(10)	2785054390621838519	0 2 18 20 30 32 42 44 60 62	504840734982
SPT(16)	2785054445602529041	0 42 60 90 100 102 126 130 168 172 196 198 208 238 256 298	559821425504
SPT(16)	2785054577093878289	0 30 32 74 78 90 98 144 158 204 212 224 228 270 272 302	691312774752
SPT(16)	2785054683627257687	0 20 60 74 104 164 210 242 324 356 402 462 492 506 546 566	797846154150