Prime p₀= 2592499407201321613 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 76 14 60 4 32 52 8 22 8 52 32 4 60 14 76 (?)
a_n: 0 76 90 150 154 186 238 246 268 276 328 360 364 424 438 514
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: 514
Found by: JayPi
db: batch=82, k=16, 76 14 60 4 32 52 8 22

SPT(16)	2592496676984516569	0 24 102 130 168 192 222 238 264 280 310 334 372 400 478 502	-2730216805044
STPT(10)	2592497241367117937	0 2 30 32 72 74 114 116 144 146	-2165834203676
SPT(16)	2592497667937796473	0 46 64 70 88 108 130 148 186 204 226 246 264 270 288 334	-1739263525140
TPT(14)	2592498237716165057	0 2 12 14 24 26 54 56 114 116 234 236 312 314	-1169485156556
STPT(10)	2592498243441356189	0 2 18 20 30 32 42 44 60 62	-1163759965424
TPT(14)	2592498922547731121	0 2 36 38 108 110 138 140 240 242 390 392 420 422	-484653590492
STPT(10)	2592499893135871721	0 2 36 38 78 80 120 122 156 158	485934550108
SPT(16)	2592499901935452869	0 8 12 20 68 78 120 138 254 272 314 324 372 380 384 392	494734131256
SPT(16)	2592499905600906437	0 12 56 80 114 120 140 192 224 276 296 302 336 360 404 416	498399584824
SPT(18)	2592499930772789417	0 2 24 30 56 74 80 122 144 272 294 336 342 360 386 392 414 416	523571467804
SPT(16)	2592500327778051329	0 30 74 92 162 204 254 272 282 300 350 392 462 480 524 554	920576729716