Prime p₀= 2709010021675429081 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 58 26 34 36 2 30 22 30 2 36 34 26 58 12 (?)
a_n: 0 12 70 96 130 166 168 198 220 250 252 288 322 348 406 418
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: 418
Found by: Roadranner
db: batch=82, k=16, 12 58 26 34 36 2 30 22

STPT(10)	2709006789648417857	0 2 30 32 42 44 54 56 84 86	-3232027011224
SPT(16)	2709007959934878761	0 26 90 120 126 150 162 230 252 320 332 356 362 392 456 482	-2061740550320
TPT(14)	2709008147980632767	0 2 42 44 90 92 150 152 162 164 192 194 222 224	-1873694796314
TPT(14)	2709008214577179197	0 2 12 14 60 62 72 74 90 92 144 146 174 176	-1807098249884
STPT(10)	2709008985613086599	0 2 18 20 60 62 102 104 120 122	-1036062342482
STPT(10)	2709009683038070297	0 2 12 14 72 74 132 134 144 146	-338637358784
SPT(16)	2709010959833365223	0 24 54 108 134 158 168 270 284 386 396 420 446 500 530 554	938157936142
TPT(14)	2709011219782759277	0 2 24 26 72 74 180 182 192 194 204 206 222 224	1198107330196
STPT(10)	2709011367529665017	0 2 30 32 42 44 54 56 84 86	1345854235936
SPT(16)	2709011640500877167	0 24 30 36 80 96 114 126 374 386 404 420 464 470 476 500	1618825448086
SPT(16)	2709011663615707997	0 30 50 114 140 150 152 182 222 252 254 264 290 354 374 404	1641940278916