Prime p₀= 2858328742035731119 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 36 14 40 42 8 28 2 28 8 42 40 14 36 22 (?)
a_n: 0 22 58 72 112 154 162 190 192 220 228 270 310 324 360 382
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: 382
Found by: Roadranner
db: batch=82, k=16, 22 36 14 40 42 8 28 2

SPT(16)	2858327301938210981	0 20 50 62 72 92 128 138 170 180 216 236 246 258 288 308	-1440097520138
STPT(10)	2858327516467987931	0 2 6 8 48 50 90 92 96 98	-1225567743188
SPT(16)	2858327741574960749	0 24 50 90 294 308 350 378 380 408 450 464 668 708 734 758	-1000460770370
STPT(10)	2858327855924288117	0 2 30 32 42 44 54 56 84 86	-886111443002
STPT(10)	2858328097207709141	0 2 78 80 138 140 198 200 276 278	-644828021978
SPT(16)	2858328544109687503	0 54 60 64 96 106 130 184 210 264 288 298 330 334 340 394	-197926043616
STPT(10)	2858328801327072287	0 2 30 32 42 44 54 56 84 86	59291341168
SPT(16)	2858329217661281783	0 6 18 20 56 116 138 200 216 278 300 360 396 398 410 416	475625550664
SPT(16)	2858329248066625549	0 10 42 54 72 90 154 160 192 198 262 280 298 310 342 352	506030894430
STPT(10)	2858329399493272319	0 2 18 20 30 32 42 44 60 62	657457541200
SPT(16)	2858329501530379673	0 14 20 38 54 90 108 114 140 146 164 200 216 234 240 254	759494648554