Prime p₀= 2258820874195386623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 10 14 16 14 24 76 110 76 24 14 16 14 10 26 (?)
a_n: 0 26 36 50 66 80 104 180 290 366 390 404 420 434 444 470
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: 470
Found by: Landjunge
db: batch=81, k=16, 26 10 14 16 14 24 76 110

SPT(16)	2258818702466201119	0 10 48 60 84 100 118 138 214 234 252 268 292 304 342 352	-2171729185504
STPT(10)	2258818790994483629	0 2 18 20 30 32 42 44 60 62	-2083200902994
SPT(16)	2258819015387772239	0 48 68 128 138 162 164 240 272 348 350 374 384 444 464 512	-1858807614384
SPT(16)	2258819400336999833	0 48 54 56 78 104 144 156 158 170 210 236 258 260 266 314	-1473858386790
SPT(16)	2258819705917005181	0 18 30 48 82 100 112 132 136 156 168 186 220 238 250 268	-1168278381442
SPT(16)	2258820772817391799	0 18 90 112 120 144 168 220 252 304 328 352 360 382 454 472	-101377994824
SPT(16)	2258821070302850029	0 4 18 22 34 42 64 132 280 348 370 378 390 394 408 412	196107463406
SPT(16)	2258821084042278083	0 14 44 86 110 174 216 230 264 278 320 384 408 450 480 494	209846891460
SPT(16)	2258821222084097813	0 24 116 120 126 134 206 234 266 294 366 374 380 384 476 500	347888711190
STPT(10)	2258821691609292767	0 2 24 26 42 44 60 62 84 86	817413906144
SPT(16)	2258821988027428717	0 22 34 36 46 76 90 106 150 166 180 210 220 222 234 256	1113832042094