Prime p₀= 2309967674776637297 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 26 40 32 78 6 106 2 106 6 78 32 40 26 24 (?)
a_n: 0 24 50 90 122 200 206 312 314 420 426 504 536 576 602 626
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: 626
Found by: FritzB
db: batch=81, k=16, 24 26 40 32 78 6 106 2

SPT(16)	2309966709190805671	0 6 10 90 108 130 168 220 336 388 426 448 466 546 550 556	-965585831626
STPT(10)	2309966850552120437	0 2 30 32 42 44 54 56 84 86	-824224516860
STPT(10)	2309966938582438307	0 2 42 44 72 74 102 104 144 146	-736194198990
STPT(10)	2309967153645666839	0 2 18 20 30 32 42 44 60 62	-521130970458
STPT(10)	2309967221264258627	0 2 30 32 42 44 54 56 84 86	-453512378670
SPT(16)	2309967376114789211	0 18 20 30 32 72 80 108 140 168 176 216 218 228 230 248	-298661848086
STPT(10)	2309967726411101717	0 2 42 44 102 104 162 164 204 206	51634464420
SPT(16)	2309967826235053211	0 2 30 62 68 108 122 128 132 138 152 192 198 230 258 260	151458415914
SPT(18)	2309967948423260669	0 38 42 98 120 144 152 162 188 264 290 300 308 332 354 410 414 452	273646623372
SPT(16)	2309968082491960291	0 10 18 60 90 100 112 156 172 216 228 238 268 310 318 328	407715322994
STPT(10)	2309968106609462147	0 2 30 32 60 62 90 92 120 122	431832824850