Prime p₀= 2810589898346653651 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 42 26 112 44 46 14 64 14 46 44 112 26 42 28 (?)
a_n: 0 28 70 96 208 252 298 312 376 390 436 480 592 618 660 688
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: 688
Found by: JayPi
db: batch=82, k=16, 28 42 26 112 44 46 14 64

SPT(16)	2810589347964888409	0 10 28 40 108 112 132 148 222 238 258 262 330 342 360 370	-550381765242
SPT(16)	2810589372838912097	0 2 12 122 164 170 222 240 266 284 336 342 384 494 504 506	-525507741554
STPT(12)	2810589394969360619	0 2 30 32 60 62 138 140 168 170 198 200	-503377293032
STPT(10)	2810589479399791259	0 2 18 20 30 32 42 44 60 62	-418946862392
TPT(14)	2810589619217315849	0 2 42 44 132 134 138 140 168 170 222 224 258 260	-279129337802
STPT(10)	2810589721378763081	0 2 6 8 18 20 30 32 36 38	-176967890570
STPT(10)	2810589981131722841	0 2 6 8 18 20 30 32 36 38	82785069190
SPT(16)	2810590025647307819	0 32 90 174 180 264 282 312 320 350 368 452 458 542 600 632	127300654168
SPT(16)	2810590097825974307	0 20 56 96 104 110 134 140 390 396 420 426 434 474 510 530	199479320656
STPT(10)	2810590114743070337	0 2 30 32 42 44 54 56 84 86	216396416686
STPT(10)	2810590383766616987	0 2 30 32 42 44 54 56 84 86	485419963336