Prime p₀= 2112300769954538347 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 56 24 58 2 18 10 2 10 18 2 58 24 56 4 (?)
a_n: 0 4 60 84 142 144 162 172 174 184 202 204 262 286 342 346
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: 346
Found by: Landjunge
db: batch=80, k=16, 4 56 24 58 2 18 10 2

SPT(16)	2112299687379313961	0 8 18 60 110 116 128 180 218 270 282 288 338 380 390 398	-1082575224386
SPT(16)	2112300033402488641	0 6 28 70 90 96 106 136 162 192 202 208 228 270 292 298	-736552049706
SPT(16)	2112300090873199673	0 90 96 108 140 164 168 174 200 206 210 234 266 278 284 374	-679081338674
SPT(16)	2112300428736115633	0 4 10 66 94 120 138 166 168 196 214 240 268 324 330 334	-341218422714
SPT(16)	2112300676114725907	0 24 40 42 52 100 114 214 360 460 474 522 532 534 550 574	-93839812440
SPT(16)	2112300764902556143	0 114 136 166 180 186 268 300 304 336 418 424 438 468 490 604	-5051982204
SPT(16)	2112300946049779781	0 20 38 50 66 92 108 156 182 230 246 272 288 300 318 338	176095241434
TPT(14)	2112300988376092601	0 2 36 38 246 248 258 260 306 308 360 362 468 470	218421554254
SPT(13)	2112301349157063347	0 6 30 114 156 174 210 246 264 306 390 414 420	579202525000
SPT(16)	2112301948653812483	0 18 24 44 74 120 138 164 240 266 284 330 360 380 386 404	1178699274136
SPT(16)	2112302039136865091	0 48 62 80 138 182 206 252 356 402 426 470 528 546 560 608	1269182326744