Prime p₀= 3023459335144728367 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 32 18 12 36 4 18 68 18 4 36 12 18 32 34 (?)
a_n: 0 34 66 84 96 132 136 154 222 240 244 280 292 310 342 376
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: 376
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 34 32 18 12 36 4 18 68

STPT(10)	3023458168274952449	0 2 18 20 30 32 42 44 60 62	-1166869775918
SPT(16)	3023458366506673091	0 68 78 122 138 170 192 198 260 266 288 320 336 380 390 458	-968638055276
STPT(10)	3023458435883176931	0 2 6 8 48 50 90 92 96 98	-899261551436
SPT(16)	3023458584284675177	0 6 26 42 60 62 110 144 182 216 264 266 284 300 320 326	-750860053190
SPT(16)	3023458593909060691	0 66 130 132 142 178 222 226 252 256 300 336 346 348 412 478	-741235667676
SPT(16)	3023458798445499229	0 48 58 70 72 88 138 162 208 232 282 298 300 312 322 370	-536699229138
SPT(16)	3023459537845682921	0 20 200 222 242 258 278 308 360 390 410 426 446 468 648 668	202700954554
SPT(16)	3023459568119618057	0 2 72 110 156 176 182 236 240 294 300 320 366 404 474 476	232974889690
SPT(16)	3023459660793391531	0 40 66 70 82 88 96 136 162 202 210 216 228 232 258 298	325648663164
SPT(16)	3023459877151346639	0 32 44 54 68 74 80 90 122 132 138 144 158 168 180 212	542006618272
SPT(16)	3023459935361060791	0 30 60 66 126 172 220 250 252 282 330 376 436 442 472 502	600216332424