Prime p₀= 2582163311271230111 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 4 8 58 18 14 22 14 22 14 18 58 8 4 8 (?)
a_n: 0 8 12 20 78 96 110 132 146 168 182 200 258 266 270 278
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: 278
Found by: Paul
db: batch=82, k=16, 8 4 8 58 18 14 22 14

SPT(16)	2582162302309741043	0 18 60 96 98 128 168 194 300 326 366 396 398 434 476 494	-1008961489068
SPT(16)	2582162314148261213	0 6 108 140 174 176 204 230 414 440 468 470 504 536 638 644	-997122968898
SPT(16)	2582162421870211703	0 18 24 50 74 78 80 116 168 204 206 210 234 260 266 284	-889401018408
SPT(16)	2582162946340361537	0 6 26 32 74 96 126 140 156 170 200 222 264 270 290 296	-364930868574
SPT(16)	2582163167769832357	0 90 112 120 126 130 142 190 222 270 282 286 292 300 322 412	-143501397754
STPT(10)	2582163182883001769	0 2 42 44 60 62 78 80 120 122	-128388228342
STPT(10)	2582163370465754399	0 2 18 20 30 32 42 44 60 62	59194524288
STPT(10)	2582163448466176847	0 2 24 26 42 44 60 62 84 86	137194946736
SPT(16)	2582163574153814543	0 8 48 50 54 146 168 188 246 266 288 380 384 386 426 434	262882584432
STPT(10)	2582164128215836037	0 2 30 32 42 44 54 56 84 86	816944605926
TPT(14)	2582164304791255361	0 2 60 62 78 80 156 158 258 260 270 272 336 338	993520025250