Prime p₀= 2310607736886694799 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 120 18 36 6 60 6 32 6 60 6 36 18 120 24 (?)
a_n: 0 24 144 162 198 204 264 270 302 308 368 374 410 428 548 572
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: 572
Found by: Orange Kid
db: batch=81, k=16, 24 120 18 36 6 60 6 32

SPT(16)	2310604507569768013	0 18 36 58 60 84 106 118 186 198 220 244 246 268 286 304	-3229316926786
SPT(16)	2310604541877605419	0 28 64 94 138 150 172 174 208 210 232 244 288 318 354 382	-3195009089380
SPT(16)	2310605016954895891	0 6 48 58 70 102 136 150 178 192 226 258 270 280 322 328	-2719931798908
STPT(10)	2310605878230632579	0 2 42 44 60 62 78 80 120 122	-1858656062220
SPT(16)	2310605900130968263	0 24 66 84 96 108 130 150 154 174 196 208 220 238 280 304	-1836755726536
TPT(14)	2310605900798849627	0 2 30 32 54 56 72 74 114 116 120 122 150 152	-1836087845172
SPT(16)	2310607954181055161	0 66 80 92 128 168 180 188 240 248 260 300 336 348 362 428	217294360362
STPT(10)	2310608488344732131	0 2 6 8 48 50 90 92 96 98	751458037332
SPT(16)	2310609116506909549	0 18 24 30 48 84 102 108 154 160 178 214 232 238 244 262	1379620214750
TPT(14)	2310609239776537517	0 2 30 32 72 74 102 104 180 182 240 242 312 314	1502889842718
SPT(16)	2310609391139877721	0 12 28 66 88 108 112 130 168 186 190 210 232 270 286 298	1654253182922