Prime p₀= 2591890744025517073 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 14 16 8 4 2 48 28 48 2 4 8 16 14 46 (?)
a_n: 0 46 60 76 84 88 90 138 166 214 216 220 228 244 258 304
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: 304
Found by: JayPi
db: batch=82, k=16, 46 14 16 8 4 2 48 28

STPT(10)	2591889241390671119	0 2 42 44 60 62 78 80 120 122	-1502634845954
SPT(16)	2591889375014172913	0 40 58 138 166 190 198 208 228 238 246 270 298 378 396 436	-1369011344160
SPT(16)	2591889576843471521	0 8 12 60 116 126 138 158 180 200 212 222 278 326 330 338	-1167182045552
SPT(16)	2591890047851960573	0 60 98 134 144 204 210 224 264 278 284 344 354 390 428 488	-696173556500
SPT(16)	2591890423636666417	0 16 42 52 102 130 132 136 150 154 156 184 234 244 270 286	-320388850656
SPT(16)	2591890569498915757	0 52 90 132 154 156 174 196 300 322 340 342 364 406 444 496	-174526601316
STPT(12)	2591890923615045527	0 2 12 14 54 56 60 62 102 104 114 116	179589528454
STPT(10)	2591890959186082109	0 2 48 50 90 92 132 134 180 182	215160565036
SPT(16)	2591891444645575351	0 70 82 88 102 118 132 226 252 346 360 376 390 396 408 478	700620058278
STPT(10)	2591891722988508737	0 2 30 32 42 44 54 56 84 86	978962991664
STPT(10)	2591891769010384661	0 2 6 8 18 20 30 32 36 38	1024984867588