Prime p₀= 2591890423636666417 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 26 10 50 28 2 4 14 4 2 28 50 10 26 16 (?)
a_n: 0 16 42 52 102 130 132 136 150 154 156 184 234 244 270 286
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: 286
Found by: JayPi
db: batch=82, k=16, 16 26 10 50 28 2 4 14

SPT(16)	2591888888290280101	0 12 76 112 118 120 132 168 250 286 298 300 306 342 406 418	-1535346386316
STPT(10)	2591889211804040411	0 2 6 8 48 50 90 92 96 98	-1211832626006
STPT(10)	2591889241390671119	0 2 42 44 60 62 78 80 120 122	-1182245995298
SPT(16)	2591889375014172913	0 40 58 138 166 190 198 208 228 238 246 270 298 378 396 436	-1048622493504
SPT(16)	2591889576843471521	0 8 12 60 116 126 138 158 180 200 212 222 278 326 330 338	-846793194896
SPT(16)	2591890047851960573	0 60 98 134 144 204 210 224 264 278 284 344 354 390 428 488	-375784705844
SPT(16)	2591890569498915757	0 52 90 132 154 156 174 196 300 322 340 342 364 406 444 496	145862249340
SPT(16)	2591890744025517073	0 46 60 76 84 88 90 138 166 214 216 220 228 244 258 304	320388850656
STPT(12)	2591890923615045527	0 2 12 14 54 56 60 62 102 104 114 116	499978379110
STPT(10)	2591890959186082109	0 2 48 50 90 92 132 134 180 182	535549415692
SPT(16)	2591891444645575351	0 70 82 88 102 118 132 226 252 346 360 376 390 396 408 478	1021008908934