Prime p₀= 2796291450409693339 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 18 10 12 6 78 6 14 6 78 6 12 10 18 24 (?)
a_n: 0 24 42 52 64 70 148 154 168 174 252 258 270 280 298 322
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: 322
Found by: JohnMD
db: batch=82, k=16, 24 18 10 12 6 78 6 14

SPT(16)	2796290140039999567	0 12 30 40 46 132 144 156 280 292 304 390 396 406 424 436	-1310369693772
TPT(14)	2796290250898745309	0 2 78 80 90 92 168 170 198 200 258 260 282 284	-1199510948030
SPT(16)	2796290443595133427	0 10 34 40 42 154 160 172 174 186 192 304 306 312 336 346	-1006814559912
SPT(16)	2796290845029045407	0 42 50 72 80 86 96 116 120 140 150 156 164 186 194 236	-605380647932
SPT(16)	2796291126755419577	0 6 26 36 56 74 92 116 240 264 282 300 320 330 350 356	-323654273762
STPT(10)	2796291434242582481	0 2 6 8 18 20 30 32 36 38	-16167110858
SPT(16)	2796291747978380021	0 2 12 18 102 116 122 132 206 216 222 236 320 326 336 338	297568686682
STPT(10)	2796291781214909249	0 2 18 20 30 32 42 44 60 62	330805215910
STPT(10)	2796291927910578257	0 2 30 32 42 44 54 56 84 86	477500884918
SPT(16)	2796292060513093297	0 22 36 42 52 72 96 112 150 166 190 210 220 226 240 262	610103399958
STPT(10)	2796292600892391647	0 2 54 56 72 74 90 92 144 146	1150482698308