Prime p₀= 2820458767312430729 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 54 6 2 12 30 10 14 10 30 12 2 6 54 30 (?)
a_n: 0 30 84 90 92 104 134 144 158 168 198 210 212 218 272 302
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: 302
Found by: JayPi
db: batch=82, k=16, 30 54 6 2 12 30 10 14

SPT(16)	2820456877748193083	0 14 26 44 78 96 110 116 138 144 158 176 210 228 240 254	-1889564237646
SPT(16)	2820456975135369989	0 14 122 144 150 188 198 210 212 224 234 272 278 300 408 422	-1792177060740
SPT(16)	2820457601500341337	0 22 52 64 72 100 132 150 166 184 216 244 252 264 294 316	-1165812089392
STPT(10)	2820457728534012599	0 2 48 50 90 92 132 134 180 182	-1038778418130
TPT(14)	2820457785160945379	0 2 30 32 72 74 90 92 102 104 258 260 282 284	-982151485350
SPT(16)	2820457876354609313	0 18 20 50 56 98 104 144 170 210 216 258 264 294 296 314	-890957821416
STPT(10)	2820458967936529487	0 2 12 14 42 44 72 74 84 86	200624098758
SPT(16)	2820459372979888877	0 20 30 72 116 146 150 174 182 206 210 240 284 326 336 356	605667458148
SPT(16)	2820459432292214023	0 36 150 174 216 220 276 304 306 334 390 394 436 460 574 610	664979783294
STPT(10)	2820460207011492581	0 2 6 8 48 50 90 92 96 98	1439699061852
SPT(16)	2820460354905340681	0 18 36 48 76 102 130 156 202 228 256 282 310 322 340 358	1587592909952