Prime p₀= 2124560322119335207 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 84 22 30 18 50 6 4 2 4 6 50 18 30 22 84 (?)
a_n: 0 84 106 136 154 204 210 214 216 220 226 276 294 324 346 430
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: 430
Found by: Landjunge
db: batch=80, k=16, 84 22 30 18 50 6 4 2

SPT(16)	2124558553299892889	0 44 72 78 98 102 168 180 242 254 320 324 344 350 378 422	-1768819442318
TPT(14)	2124558707913426149	0 2 78 80 180 182 222 224 408 410 462 464 498 500	-1614205909058
SPT(16)	2124559069694786797	0 22 66 90 130 160 172 216 256 300 312 342 382 406 450 472	-1252424548410
STPT(10)	2124559373849157569	0 2 18 20 30 32 42 44 60 62	-948270177638
SPT(16)	2124559380073158683	0 74 98 180 224 260 264 300 308 344 348 384 428 510 534 608	-942046176524
STPT(10)	2124559396963431509	0 2 12 14 90 92 168 170 180 182	-925155903698
SPT(16)	2124560432342761043	0 38 68 98 114 140 170 176 228 234 264 290 306 336 366 404	110223425836
SPT(16)	2124560626316149013	0 56 80 90 110 114 150 156 308 314 350 354 374 384 408 464	304196813806
TPT(14)	2124560848568104151	0 2 60 62 78 80 330 332 366 368 408 410 450 452	526448768944
SPT(16)	2124560881354788463	0 28 58 96 124 130 156 196 228 268 294 300 328 366 396 424	559235453256
STPT(10)	2124560973329206829	0 2 18 20 30 32 42 44 60 62	651209871622