Prime p₀= 2423998954409051611 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 26 6 54 24 4 2 64 2 4 24 54 6 26 16 (?)
a_n: 0 16 42 48 102 126 130 132 196 198 202 226 280 286 312 328
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: 328
Found by: JayPi
db: batch=82, k=16, 16 26 6 54 24 4 2 64

SPT(16)	2423996260107479641	0 22 42 58 72 168 190 210 490 510 532 628 642 658 678 700	-2694301571970
STPT(10)	2423996646627893327	0 2 42 44 72 74 102 104 144 146	-2307781158284
SPT(16)	2423997572175264191	0 2 8 42 78 86 110 122 156 168 192 200 236 270 276 278	-1382233787420
SPT(13)	2423997634964719789	0 30 72 108 120 162 180 198 240 252 288 330 360	-1319444331822
SPT(16)	2423997925585226521	0 12 48 126 136 142 160 220 258 318 336 342 352 430 466 478	-1028823825090
SPT(16)	2423998655023686259	0 10 72 82 138 150 168 208 264 304 322 334 390 400 462 472	-299385365352
STPT(10)	2423998961219093507	0 2 12 14 42 44 72 74 84 86	6810041896
SPT(16)	2423999314068347593	0 6 58 76 144 198 204 208 246 250 256 310 378 396 448 454	359659295982
SPT(16)	2423999537298840881	0 32 50 98 122 168 230 260 300 330 392 438 462 510 528 560	582889789270
SPT(16)	2423999578112228927	0 42 54 62 72 114 152 266 270 384 422 464 474 482 494 536	623703177316
STPT(10)	2423999869229392841	0 2 30 32 78 80 126 128 156 158	914820341230