Prime p₀= 2929780128975229069 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 8 28 38 70 44 46 26 46 44 70 38 28 8 4 (?)
a_n: 0 4 12 40 78 148 192 238 264 310 354 424 462 490 498 502
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: 502
Found by: Thundergrid
db: batch=82, k=16, 4 8 28 38 70 44 46 26

SPT(16)	2929777927437668381	0 62 72 78 86 132 176 188 210 222 266 312 320 326 336 398	-2201537560688
SPT(16)	2929778200264582867	0 6 72 82 96 102 156 162 250 256 310 316 330 340 406 412	-1928710646202
SPT(16)	2929779126469309099	0 40 42 52 72 82 88 102 220 234 240 250 270 280 282 322	-1002505919970
TPT(14)	2929779275065046321	0 2 30 32 36 38 66 68 78 80 156 158 168 170	-853910182748
STPT(10)	2929779650383677191	0 2 6 8 168 170 330 332 336 338	-478591551878
STPT(10)	2929779659724677519	0 2 12 14 90 92 168 170 180 182	-469250551550
STPT(10)	2929780511134376519	0 2 12 14 90 92 168 170 180 182	382159147450
SPT(16)	2929780663624482883	0 10 34 70 190 208 250 264 274 288 330 348 468 504 528 538	534649253814
STPT(10)	2929781112212350601	0 2 6 8 18 20 30 32 36 38	983237121532
SPT(16)	2929781255023337483	0 74 108 126 140 198 200 230 294 324 326 384 398 416 450 524	1126048108414
STPT(10)	2929781267038530647	0 2 30 32 42 44 54 56 84 86	1138063301578