Prime p₀= 2258821222084097813 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 92 4 6 8 72 28 32 28 72 8 6 4 92 24 (?)
a_n: 0 24 116 120 126 134 206 234 266 294 366 374 380 384 476 500
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: 500
Found by: Landjunge
db: batch=81, k=16, 24 92 4 6 8 72 28 32

SPT(16)	2258819400336999833	0 48 54 56 78 104 144 156 158 170 210 236 258 260 266 314	-1821747097980
SPT(16)	2258819705917005181	0 18 30 48 82 100 112 132 136 156 168 186 220 238 250 268	-1516167092632
SPT(16)	2258820772817391799	0 18 90 112 120 144 168 220 252 304 328 352 360 382 454 472	-449266706014
SPT(16)	2258820874195386623	0 26 36 50 66 80 104 180 290 366 390 404 420 434 444 470	-347888711190
SPT(16)	2258821070302850029	0 4 18 22 34 42 64 132 280 348 370 378 390 394 408 412	-151781247784
SPT(16)	2258821084042278083	0 14 44 86 110 174 216 230 264 278 320 384 408 450 480 494	-138041819730
STPT(10)	2258821691609292767	0 2 24 26 42 44 60 62 84 86	469525194954
SPT(16)	2258821988027428717	0 22 34 36 46 76 90 106 150 166 180 210 220 222 234 256	765943330904
SPT(16)	2258821989825705121	0 6 48 70 88 96 132 142 156 166 202 210 228 250 292 298	767741607308
STPT(10)	2258822050379100299	0 2 18 20 30 32 42 44 60 62	828295002486
STPT(10)	2258822233053574127	0 2 30 32 60 62 90 92 120 122	1010969476314