Prime p₀= 2310243673590616721 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 24 44 4 50 28 98 16 98 28 50 4 44 24 18 (?)
a_n: 0 18 42 86 90 140 168 266 282 380 408 458 462 506 530 548
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: 548
Found by: FritzB
db: batch=81, k=16, 18 24 44 4 50 28 98 16

SPT(16)	2310242766774152059	0 10 42 54 132 154 160 168 244 252 258 280 358 370 402 412	-906816464662
SPT(16)	2310242888696041583	0 18 26 110 140 180 228 254 270 296 344 384 414 498 506 524	-784894575138
STPT(10)	2310242996748590747	0 2 30 32 42 44 54 56 84 86	-676842025974
STPT(10)	2310243025647795419	0 2 18 20 30 32 42 44 60 62	-647942821302
SPT(16)	2310243108362882807	0 2 32 50 56 66 86 116 126 156 176 186 192 210 240 242	-565227733914
TPT(14)	2310243249587323871	0 2 36 38 198 200 228 230 240 242 300 302 330 332	-424003292850
STPT(10)	2310243913021709837	0 2 30 32 42 44 54 56 84 86	239431093116
SPT(16)	2310244073610236131	0 46 90 102 112 130 168 250 258 340 378 396 406 418 462 508	400019619410
SPT(16)	2310244241053743223	0 6 64 78 88 150 166 210 214 258 274 336 346 360 418 424	567463126502
SPT(16)	2310244384747306619	0 2 78 170 182 210 234 260 282 308 332 360 372 464 540 542	711156689898
SPT(16)	2310244571407453349	0 42 60 128 132 138 260 302 348 390 512 518 522 590 608 650	897816836628