Prime p₀= 2866816473752988439 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 30 38 30 12 46 14 46 14 46 12 30 38 30 34 (?)
a_n: 0 34 64 102 132 144 190 204 250 264 310 322 352 390 420 454
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: 454
Found by: Roadranner
db: batch=82, k=16, 34 30 38 30 12 46 14 46

TPT(14)	2866815622456145621	0 2 18 20 30 32 48 50 156 158 186 188 198 200	-851296842818
SPT(16)	2866815968574999481	0 18 36 40 78 112 186 228 280 322 396 430 468 472 490 508	-505177988958
SPT(16)	2866815986802576161	0 12 30 72 78 80 86 108 140 162 168 170 176 218 236 248	-486950412278
STPT(10)	2866815995750616911	0 2 126 128 138 140 150 152 276 278	-478002371528
STPT(10)	2866816267027020167	0 2 30 32 72 74 114 116 144 146	-206725968272
SPT(16)	2866816340999494621	0 52 58 96 112 136 162 168 190 196 222 246 262 300 306 358	-132753493818
SPT(16)	2866816514841962993	0 6 66 78 90 98 134 144 290 300 336 344 356 368 428 434	41088974554
SPT(16)	2866816713279697631	0 18 56 182 200 206 242 252 266 276 312 318 336 462 500 518	239526709192
STPT(10)	2866816763658541427	0 2 24 26 42 44 60 62 84 86	289905552988
SPT(13)	2866816769675848267	0 24 36 54 90 126 150 174 210 246 264 276 300	295922859828
SPT(16)	2866816872082227143	0 14 24 50 80 126 290 294 296 300 464 510 540 566 576 590	398329238704