Prime p₀= 2956353421065480307 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 32 6 24 16 6 20 34 20 6 16 24 6 32 22 (?)
a_n: 0 22 54 60 84 100 106 126 160 180 186 202 226 232 264 286
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: 286
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 22 32 6 24 16 6 20 34

SPT(16)	2956352098941462367	0 12 16 40 70 76 82 136 156 210 216 222 252 276 280 292	-1322124017940
SPT(16)	2956352671161048359	0 14 62 92 102 168 204 224 348 368 404 470 480 510 558 572	-749904431948
SPT(16)	2956352922601574113	0 46 48 60 78 90 150 198 316 364 424 436 454 466 468 514	-498463906194
STPT(10)	2956353015092395739	0 2 42 44 60 62 78 80 120 122	-405973084568
SPT(16)	2956353264571886551	0 22 52 60 66 78 106 136 162 192 220 232 238 246 276 298	-156493593756
STPT(10)	2956353360189830477	0 2 30 32 60 62 90 92 120 122	-60875649830
STPT(10)	2956353437924832269	0 2 18 20 30 32 42 44 60 62	16859351962
STPT(10)	2956354044436845539	0 2 12 14 90 92 168 170 180 182	623371365232
SPT(16)	2956354469373889721	0 18 30 48 86 140 156 168 218 230 246 300 338 356 368 386	1048308409414
SPT(16)	2956354661200381537	0 6 94 106 126 136 154 232 264 342 360 370 390 402 490 496	1240134901230
SPT(16)	2956355057135396099	0 24 54 74 84 110 150 162 200 212 252 278 288 308 338 362	1636069915792