Prime p₀= 3023459660793391531 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 26 4 12 6 8 40 26 40 8 6 12 4 26 40 (?)
a_n: 0 40 66 70 82 88 96 136 162 202 210 216 228 232 258 298
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: 298
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 40 26 4 12 6 8 40 26

SPT(16)	3023458584284675177	0 6 26 42 60 62 110 144 182 216 264 266 284 300 320 326	-1076508716354
SPT(16)	3023458593909060691	0 66 130 132 142 178 222 226 252 256 300 336 346 348 412 478	-1066884330840
SPT(16)	3023458798445499229	0 48 58 70 72 88 138 162 208 232 282 298 300 312 322 370	-862347892302
SPT(16)	3023459335144728367	0 34 66 84 96 132 136 154 222 240 244 280 292 310 342 376	-325648663164
SPT(16)	3023459537845682921	0 20 200 222 242 258 278 308 360 390 410 426 446 468 648 668	-122947708610
SPT(16)	3023459568119618057	0 2 72 110 156 176 182 236 240 294 300 320 366 404 474 476	-92673773474
SPT(16)	3023459877151346639	0 32 44 54 68 74 80 90 122 132 138 144 158 168 180 212	216357955108
SPT(16)	3023459935361060791	0 30 60 66 126 172 220 250 252 282 330 376 436 442 472 502	274567669260
SPT(16)	3023459948052410261	0 20 30 36 110 120 132 146 156 170 182 192 266 272 282 302	287259018730
SPT(16)	3023460042108451921	0 6 10 16 106 120 160 202 276 318 358 372 462 468 472 478	381315060390
STPT(10)	3023460429141812711	0 2 6 8 18 20 30 32 36 38	768348421180