Prime p₀= 2339800599008476223 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 2 40 56 10 24 8 22 8 24 10 56 40 2 6 (?)
a_n: 0 6 8 48 104 114 138 146 168 176 200 210 266 306 308 314
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: 314
Found by: Landjunge
db: batch=81, k=16, 6 2 40 56 10 24 8 22

SPT(16)	2339799067130748497	0 14 24 30 50 74 86 102 134 150 162 186 206 212 222 236	-1531877727726
SPT(16)	2339799688768902827	0 62 80 96 110 122 132 140 216 224 234 246 260 276 294 356	-910239573396
SPT(16)	2339799773376954211	0 10 16 30 58 78 82 168 220 306 310 330 358 372 378 388	-825631522012
STPT(10)	2339799816732781097	0 2 90 92 102 104 114 116 204 206	-782275695126
SPT(16)	2339800474219984649	0 24 54 164 180 210 228 240 278 290 308 338 354 464 494 518	-124788491574
SPT(16)	2339800496301036277	0 34 40 64 70 82 84 106 150 172 174 186 192 216 222 256	-102707439946
SPT(16)	2339800773433681967	0 2 36 62 132 204 224 230 246 252 272 344 414 440 474 476	174425205744
STPT(10)	2339800877425002161	0 2 30 32 78 80 126 128 156 158	278416525938
TPT(14)	2339801124866812559	0 2 42 44 108 110 120 122 138 140 162 164 210 212	525858336336
SPT(16)	2339801210074128637	0 6 40 42 64 82 90 132 154 196 204 222 244 246 280 286	611065652414
TPT(14)	2339801770155037211	0 2 6 8 36 38 48 50 78 80 240 242 336 338	1171146560988