Prime p₀= 2392058390638035989 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 8 82 36 6 24 44 28 44 24 6 36 82 8 42 (?)
a_n: 0 42 50 132 168 174 198 242 270 314 338 344 380 462 470 512
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 512
Found by: Landjunge
db: batch=81, k=16, 42 8 82 36 6 24 44 28

SPT(16)	2392057197237912833	0 38 44 48 66 80 84 114 200 230 234 248 266 270 276 314	-1193400123156
STPT(10)	2392057205351185637	0 2 42 44 72 74 102 104 144 146	-1185286850352
SPT(16)	2392057514591737631	0 42 48 56 66 80 116 158 300 342 378 392 402 410 416 458	-876046298358
SPT(16)	2392057629152063261	0 2 32 78 90 132 158 180 218 240 266 308 320 366 396 398	-761485972728
STPT(10)	2392057698831686057	0 2 12 14 72 74 132 134 144 146	-691806349932
STPT(10)	2392058226875217881	0 2 36 38 78 80 120 122 156 158	-163762818108
SPT(16)	2392059130886069681	0 12 32 36 72 92 110 150 212 252 270 290 326 330 350 362	740248033692
SPT(16)	2392059743262414331	0 46 58 78 96 112 120 168 250 298 306 322 340 360 372 418	1352624378342
SPT(18)	2392060040073235957	0 60 106 112 126 192 256 280 322 330 372 396 460 526 540 546 592 652	1649435199968
SPT(16)	2392060537930152637	0 4 22 64 100 114 126 130 186 190 202 216 252 294 312 316	2147292116648
STPT(10)	2392060941944170097	0 2 42 44 72 74 102 104 144 146	2551306134108