Prime p₀= 2310188537178251467 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 6 84 96 12 6 24 58 24 6 12 96 84 6 6 (?)
a_n: 0 6 12 96 192 204 210 234 292 316 322 334 430 514 520 526
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: 526
Found by: FritzB
db: batch=81, k=16, 6 6 84 96 12 6 24 58

SPT(16)	2310187895419008487	0 42 54 64 72 94 102 124 210 232 240 262 270 280 292 334	-641759242980
SPT(16)	2310188019721513927	0 52 84 120 130 142 220 234 322 336 414 426 436 472 504 556	-517456737540
STPT(10)	2310188268978355229	0 2 48 50 60 62 72 74 120 122	-268199896238
SPT(18)	2310188427602429483	0 26 30 48 50 90 96 110 134 180 204 218 224 264 266 284 288 314	-109575821984
SPT(16)	2310188433432364123	0 18 36 58 64 66 70 78 226 234 238 240 246 268 286 304	-103745887344
STPT(10)	2310188482185082349	0 2 12 14 90 92 168 170 180 182	-54993169118
STPT(10)	2310188825296881161	0 2 6 8 48 50 90 92 96 98	288118629694
SPT(16)	2310189062284704779	0 44 54 78 90 104 168 188 204 224 288 302 314 338 348 392	525106453312
SPT(18)	2310189321462280717	0 60 70 72 132 180 202 226 246 250 270 294 316 364 424 426 436 496	784284029250
STPT(10)	2310189716127364607	0 2 30 32 42 44 54 56 84 86	1178949113140
STPT(10)	2310190046917403867	0 2 60 62 72 74 84 86 144 146	1509739152400