Prime p₀= 2279083315989688471 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 42 74 36 4 30 50 4 50 30 4 36 74 42 16 (?)
a_n: 0 16 58 132 168 172 202 252 256 306 336 340 376 450 492 508
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: 508
Found by: Time_Traveler
db: batch=81, k=16, 16 42 74 36 4 30 50 4

SPT(16)	2279082200685533603	0 48 68 78 84 104 140 150 164 174 210 230 236 246 266 314	-1115304154868
STPT(10)	2279082402666069071	0 2 36 38 78 80 120 122 156 158	-913323619400
STPT(10)	2279082477174609707	0 2 42 44 72 74 102 104 144 146	-838815078764
SPT(16)	2279082480843437267	0 32 42 50 62 92 144 150 176 182 234 264 276 284 294 326	-835146251204
SPT(16)	2279082852930212377	0 24 34 54 66 90 136 166 180 210 256 280 292 312 322 346	-463059476094
STPT(10)	2279083246243906481	0 2 36 38 78 80 120 122 156 158	-69745781990
STPT(10)	2279083519220120441	0 2 6 8 48 50 90 92 96 98	203230431970
STPT(10)	2279083703286012521	0 2 96 98 108 110 120 122 216 218	387296324050
SPT(16)	2279083945599410779	0 12 30 58 78 82 148 162 250 264 330 334 354 382 400 412	629609722308
STPT(10)	2279084178467536439	0 2 18 20 30 32 42 44 60 62	862477847968
STPT(10)	2279084436460147451	0 2 36 38 78 80 120 122 156 158	1120470458980