Prime p₀= 1020068161651723823 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 22 12 12 24 24 6 146 6 24 24 12 12 22 14 (?)
a_n: 0 14 36 48 60 84 108 114 260 266 290 314 326 338 360 374
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: 374
Found by: stoneageman
db: batch=76, k=16, 14 22 12 12 24 24 6 146

STPT(10)	1020067199611582061	0 2 30 32 60 62 90 92 120 122	-962040141762
STPT(10)	1020067523689702337	0 2 90 92 150 152 210 212 300 302	-637962021486
SPT(16)	1020067571429371789	0 22 42 100 172 190 232 288 364 420 462 480 552 610 630 652	-590222352034
SPT(16)	1020067709799730667	0 14 32 56 74 102 132 206 210 284 314 342 360 384 402 416	-451851993156
SPT(16)	1020067800387781417	0 76 82 90 96 160 174 216 220 262 276 340 346 354 360 436	-361263942406
STPT(10)	1020067917009900641	0 2 36 38 78 80 120 122 156 158	-244641823182
STPT(10)	1020068253760008239	0 2 42 44 90 92 138 140 180 182	92108284416
SPT(16)	1020068271511685497	0 10 22 36 66 72 112 166 180 234 274 280 310 324 336 346	109859961674
SPT(16)	1020068548779463849	0 22 24 52 54 58 94 100 162 168 204 208 210 238 240 262	387127740026
STPT(10)	1020068974964417447	0 2 24 26 42 44 60 62 84 86	813312693624
SPT(16)	1020069010295622191	0 6 86 92 108 116 188 210 248 270 342 350 366 372 452 458	848643898368