Prime p₀= 2865171078871484797 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 30 6 14 16 20 24 70 24 20 16 14 6 30 16 (?)
a_n: 0 16 46 52 66 82 102 126 196 220 240 256 270 276 306 322
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: [SG]ATA-Rolf
db: batch=82, k=16, 16 30 6 14 16 20 24 70

SPT(16)	2865168859177138277	0 54 74 114 140 156 282 306 350 374 500 516 542 582 602 656	-2219694346520
SPT(16)	2865169098940619659	0 28 60 102 108 118 132 138 292 298 312 322 328 370 402 430	-1979930865138
STPT(10)	2865169320442769309	0 2 12 14 30 32 48 50 60 62	-1758428715488
SPT(16)	2865169988948179897	0 10 24 70 84 136 154 160 180 186 204 256 270 316 330 340	-1089923304900
SPT(16)	2865170012133951331	0 18 60 78 90 102 108 112 186 190 196 208 220 238 280 298	-1066737533466
SPT(16)	2865171031822896259	0 4 12 22 64 72 88 94 198 204 220 228 270 280 288 292	-47048588538
SPT(16)	2865171080404366007	0 2 24 42 134 150 164 182 234 252 266 282 374 392 414 416	1532881210
STPT(10)	2865171445402911917	0 2 30 32 42 44 54 56 84 86	366531427120
STPT(10)	2865172609180662239	0 2 18 20 30 32 42 44 60 62	1530309177442
SPT(16)	2865172859847061969	0 10 22 28 72 148 160 162 190 192 204 280 324 330 342 352	1780975577172
TPT(14)	2865173037537781211	0 2 150 152 168 170 216 218 306 308 336 338 348 350	1958666296414