Prime p₀= 2310244384747306619 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 76 92 12 28 24 26 22 26 24 28 12 92 76 2 (?)
a_n: 0 2 78 170 182 210 234 260 282 308 332 360 372 464 540 542
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: 542
Found by: FritzB
db: batch=81, k=16, 2 76 92 12 28 24 26 22

SPT(16)	2310243108362882807	0 2 32 50 56 66 86 116 126 156 176 186 192 210 240 242	-1276384423812
TPT(14)	2310243249587323871	0 2 36 38 198 200 228 230 240 242 300 302 330 332	-1135159982748
SPT(16)	2310243673590616721	0 18 42 86 90 140 168 266 282 380 408 458 462 506 530 548	-711156689898
STPT(10)	2310243913021709837	0 2 30 32 42 44 54 56 84 86	-471725596782
SPT(16)	2310244073610236131	0 46 90 102 112 130 168 250 258 340 378 396 406 418 462 508	-311137070488
SPT(16)	2310244241053743223	0 6 64 78 88 150 166 210 214 258 274 336 346 360 418 424	-143693563396
SPT(16)	2310244571407453349	0 42 60 128 132 138 260 302 348 390 512 518 522 590 608 650	186660146730
STPT(10)	2310245438864694311	0 2 30 32 78 80 126 128 156 158	1054117387692
SPT(16)	2310245516206964597	0 42 50 62 66 72 74 84 122 132 134 140 144 156 164 206	1131459657978
STPT(10)	2310245708184391301	0 2 36 38 78 80 120 122 156 158	1323437084682
TPT(14)	2310245718034692677	0 2 42 44 72 74 120 122 150 152 192 194 324 326	1333287386058