Prime p₀= 1296869813996637997 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 12 8 30 16 12 2 58 2 12 16 30 8 12 34 (?)
a_n: 0 34 46 54 84 100 112 114 172 174 186 202 232 240 252 286
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: 286
Found by: mikey
db: batch=77, k=16, 34 12 8 30 16 12 2 58

SPT(16)	1296868706824309999	0 34 42 70 144 190 198 210 262 274 282 328 402 430 438 472	-1107172327998
SPT(16)	1296868783830418943	0 50 158 188 198 210 228 240 314 326 344 356 366 396 504 554	-1030166219054
STPT(10)	1296868870905300947	0 2 60 62 102 104 144 146 204 206	-943091337050
STPT(10)	1296868977367039577	0 2 54 56 72 74 90 92 144 146	-836629598420
STPT(10)	1296869366917435637	0 2 42 44 72 74 102 104 144 146	-447079202360
SPT(16)	1296869514929523611	0 30 38 42 116 170 192 198 200 206 228 282 356 360 368 398	-299067114386
SPT(16)	1296869887835228701	0 30 42 78 82 88 120 130 180 190 222 228 232 268 280 310	73838590704
STPT(10)	1296869989721573789	0 2 18 20 30 32 42 44 60 62	175724935792
STPT(10)	1296870174876579617	0 2 30 32 42 44 54 56 84 86	360879941620
SPT(20)	1296870279118096643	0 8 24 38 74 80 120 200 258 288 380 410 468 548 588 594 630 644 660 668	465121458646
SPT(16)	1296870811608229801	0 52 60 82 136 150 186 216 262 292 328 342 396 418 426 478	997611591804