Prime p₀= 3023459935361060791 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 30 6 60 46 48 30 2 30 48 46 60 6 30 30 (?)
a_n: 0 30 60 66 126 172 220 250 252 282 330 376 436 442 472 502
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: [SG]ATA-Rolf
db: batch=82, k=16, 30 30 6 60 46 48 30 2

SPT(16)	3023458798445499229	0 48 58 70 72 88 138 162 208 232 282 298 300 312 322 370	-1136915561562
SPT(16)	3023459335144728367	0 34 66 84 96 132 136 154 222 240 244 280 292 310 342 376	-600216332424
SPT(16)	3023459537845682921	0 20 200 222 242 258 278 308 360 390 410 426 446 468 648 668	-397515377870
SPT(16)	3023459568119618057	0 2 72 110 156 176 182 236 240 294 300 320 366 404 474 476	-367241442734
SPT(16)	3023459660793391531	0 40 66 70 82 88 96 136 162 202 210 216 228 232 258 298	-274567669260
SPT(16)	3023459877151346639	0 32 44 54 68 74 80 90 122 132 138 144 158 168 180 212	-58209714152
SPT(16)	3023459948052410261	0 20 30 36 110 120 132 146 156 170 182 192 266 272 282 302	12691349470
SPT(16)	3023460042108451921	0 6 10 16 106 120 160 202 276 318 358 372 462 468 472 478	106747391130
STPT(10)	3023460429141812711	0 2 6 8 18 20 30 32 36 38	493780751920
STPT(10)	3023460871086230039	0 2 48 50 90 92 132 134 180 182	935725169248
SPT(16)	3023461050732543763	0 4 16 28 30 40 46 90 94 138 144 154 156 168 180 184	1115371482972