Prime p₀= 2682021691750309427 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 14 54 76 20 10 8 58 8 10 20 76 54 14 12 (?)
a_n: 0 12 26 80 156 176 186 194 252 260 270 290 366 420 434 446
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: 446
Found by: JayPi
db: batch=82, k=16, 12 14 54 76 20 10 8 58

SPT(16)	2682021029126047027	0 34 70 94 132 172 214 216 220 222 264 304 342 366 402 436	-662624262400
SPT(16)	2682021086905085647	0 24 30 46 106 124 154 172 204 222 252 270 330 346 352 376	-604845223780
SPT(16)	2682021203529905863	0 6 16 66 70 114 118 138 196 216 220 264 268 318 328 334	-488220403564
STPT(10)	2682021225094116977	0 2 30 32 42 44 54 56 84 86	-466656192450
SPT(16)	2682021240070190783	0 18 20 44 48 56 78 90 284 296 318 326 330 354 356 374	-451680118644
STPT(10)	2682021592284427817	0 2 54 56 72 74 90 92 144 146	-99465881610
SPT(16)	2682022210743022913	0 38 56 90 120 140 146 156 308 318 324 344 374 408 426 464	518992713486
SPT(16)	2682022292999029571	0 6 12 56 152 156 180 206 222 248 272 276 372 416 422 428	601248720144
SPT(18)	2682022889092016251	0 12 18 28 96 108 126 132 138 160 166 172 190 202 270 280 286 298	1197341706824
SPT(16)	2682022947861492397	0 4 40 60 106 136 144 166 210 232 240 270 316 336 372 376	1256111182970
SPT(16)	2682023048475200401	0 58 118 132 156 208 310 342 496 528 630 682 706 720 780 838	1356724890974