Prime p₀= 2567651784348079567 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 6 30 2 52 26 4 26 4 26 52 2 30 6 4 (?)
a_n: 0 4 10 40 42 94 120 124 150 154 180 232 234 264 270 274
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: 274
Found by: JayPi
db: batch=82, k=16, 4 6 30 2 52 26 4 26

SPT(16)	2567650871731072669	0 34 90 100 150 168 190 204 274 288 310 328 378 388 444 478	-912617006898
STPT(10)	2567650900840252991	0 2 30 32 78 80 126 128 156 158	-883507826576
STPT(10)	2567651264546852579	0 2 18 20 30 32 42 44 60 62	-519801226988
SPT(16)	2567651316911847601	0 30 102 120 142 186 196 198 220 222 232 276 298 316 388 418	-467436231966
SPT(16)	2567651401316263181	0 38 78 86 90 108 126 176 210 260 278 296 300 308 348 386	-383031816386
STPT(10)	2567651636006316887	0 2 30 32 42 44 54 56 84 86	-148341762680
SPT(16)	2567652302592941987	0 12 90 140 180 210 260 264 302 306 356 386 426 476 554 566	518244862420
SPT(16)	2567652434889384611	0 60 156 186 216 222 230 266 522 558 566 572 602 632 728 788	650541305044
SPT(16)	2567652812947129099	0 22 64 78 148 174 180 184 258 262 268 294 364 378 420 442	1028599049532
SPT(16)	2567653226859662881	0 16 36 76 88 106 120 148 168 196 210 228 240 280 300 316	1442511583314
SPT(16)	2567653388807031617	0 26 50 56 134 182 206 212 234 240 264 312 390 396 420 446	1604458952050