Prime p₀= 2565891666821636597 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 2 6 102 12 22 26 22 26 22 12 102 6 2 12 (?)
a_n: 0 12 14 20 122 134 156 182 204 230 252 264 366 372 374 386
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: 386
Found by: JayPi
db: batch=82, k=16, 12 2 6 102 12 22 26 22

STPT(10)	2565890177533627697	0 2 30 32 42 44 54 56 84 86	-1489288008900
SPT(16)	2565890246606616091	0 10 16 66 88 106 126 136 162 172 192 210 232 282 288 298	-1420215020506
SPT(16)	2565890544958769767	0 30 60 76 126 154 166 256 294 384 396 424 474 490 520 550	-1121862866830
SPT(16)	2565890705376735509	0 12 24 42 80 84 122 132 170 180 218 222 260 278 290 302	-961444901088
STPT(10)	2565890725968429029	0 2 42 44 60 62 78 80 120 122	-940853207568
SPT(16)	2565891163413043777	0 12 24 84 124 220 240 262 282 304 324 420 460 520 532 544	-503408592820
SPT(16)	2565891697017636541	0 60 88 100 162 208 210 228 250 268 270 316 378 390 418 478	30195999944
SPT(16)	2565892261809433013	0 8 14 18 48 78 80 140 168 228 230 260 290 294 300 308	594987796416
SPT(16)	2565892533594329741	0 6 86 126 168 170 176 198 200 222 228 230 272 312 392 398	866772693144
SPT(16)	2565892594439590963	0 10 28 78 94 120 154 196 228 270 304 330 346 396 414 424	927617954366
SPT(16)	2565893407059889693	0 28 40 66 76 78 90 106 138 154 166 168 178 204 216 244	1740238253096