Prime p₀= 2725995578883435497 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 28 8 52 2 28 30 8 30 28 2 52 8 28 56 (?)
a_n: 0 56 84 92 144 146 174 204 212 242 270 272 324 332 360 416
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: 416
Found by: JayPi
db: batch=82, k=16, 56 28 8 52 2 28 30 8

STPT(10)	2725993348441030709	0 2 18 20 30 32 42 44 60 62	-2230442404788
SPT(16)	2725994669190427717	0 24 66 96 106 120 192 234 262 304 376 390 400 430 472 496	-909693007780
SPT(16)	2725994910451624909	0 4 12 18 48 88 142 184 198 240 294 334 364 370 378 382	-668431810588
SPT(16)	2725995006498807943	0 40 60 76 96 120 138 148 186 196 214 238 258 274 294 334	-572384627554
SPT(16)	2725995303780703817	0 44 56 74 80 92 234 252 284 302 444 456 462 480 492 536	-275102731680
SPT(16)	2725995395833469533	0 36 48 76 88 174 184 226 228 270 280 366 378 406 418 454	-183049965964
SPT(20)	2725995998676643961	0 8 66 78 108 140 176 218 228 230 288 290 300 342 378 410 440 452 510 518	419793208464
SPT(16)	2725996078472106379	0 24 78 84 112 114 190 210 352 372 448 450 478 484 538 562	499588670882
STPT(10)	2725996148562766769	0 2 18 20 30 32 42 44 60 62	569679331272
SPT(16)	2725996178907026999	0 68 72 80 98 108 150 164 198 212 254 264 282 290 294 362	600023591502
STPT(10)	2725996196148232001	0 2 36 38 78 80 120 122 156 158	617264796504