Prime p₀= 2709010959833365223 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 30 54 26 24 10 102 14 102 10 24 26 54 30 24 (?)
a_n: 0 24 54 108 134 158 168 270 284 386 396 420 446 500 530 554
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: 554
Found by: Roadranner
db: batch=82, k=16, 24 30 54 26 24 10 102 14

SPT(16)	2709007959934878761	0 26 90 120 126 150 162 230 252 320 332 356 362 392 456 482	-2999898486462
TPT(14)	2709008147980632767	0 2 42 44 90 92 150 152 162 164 192 194 222 224	-2811852732456
TPT(14)	2709008214577179197	0 2 12 14 60 62 72 74 90 92 144 146 174 176	-2745256186026
STPT(10)	2709008985613086599	0 2 18 20 60 62 102 104 120 122	-1974220278624
STPT(10)	2709009683038070297	0 2 12 14 72 74 132 134 144 146	-1276795294926
SPT(16)	2709010021675429081	0 12 70 96 130 166 168 198 220 250 252 288 322 348 406 418	-938157936142
TPT(14)	2709011219782759277	0 2 24 26 72 74 180 182 192 194 204 206 222 224	259949394054
STPT(10)	2709011367529665017	0 2 30 32 42 44 54 56 84 86	407696299794
SPT(16)	2709011640500877167	0 24 30 36 80 96 114 126 374 386 404 420 464 470 476 500	680667511944
SPT(16)	2709011663615707997	0 30 50 114 140 150 152 182 222 252 254 264 290 354 374 404	703782342774
SPT(16)	2709011937007870951	0 18 72 90 100 198 202 220 360 378 382 480 490 508 562 580	977174505728