Prime p₀= 2905939646835662123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 4 8 108 52 68 10 2 10 68 52 108 8 4 56 (?)
a_n: 0 56 60 68 176 228 296 306 308 318 386 438 546 554 558 614
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: 614
Found by: Roadranner
db: batch=82, k=16, 56 4 8 108 52 68 10 2

SPT(16)	2905937801194747129	0 24 72 94 100 130 144 174 178 208 222 252 258 280 328 352	-1845640914994
STPT(10)	2905937907319633799	0 2 18 20 30 32 42 44 60 62	-1739516028324
SPT(16)	2905938180176215633	0 4 30 36 54 64 70 78 106 114 120 130 148 154 180 184	-1466659446490
STPT(10)	2905939164146266607	0 2 60 62 72 74 84 86 144 146	-482689395516
SPT(16)	2905939335252359993	0 60 80 86 96 104 170 230 234 294 360 368 378 384 404 464	-311583302130
STPT(10)	2905939634352465587	0 2 84 86 162 164 240 242 324 326	-12483196536
SPT(16)	2905939992973322917	0 30 42 66 76 94 100 106 120 126 132 150 160 184 196 226	346137660794
TPT(14)	2905940196550959941	0 2 18 20 216 218 228 230 240 242 258 260 378 380	549715297818
TPT(14)	2905940664006395177	0 2 24 26 162 164 372 374 390 392 414 416 444 446	1017170733054
SPT(16)	2905941239225778701	0 26 48 56 122 146 212 216 272 276 342 366 432 440 462 488	1592390116578
SPT(16)	2905941251160059029	0 10 12 22 52 78 82 108 142 168 172 198 228 238 240 250	1604324396906