Prime p₀= 2448123579720394687 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 14 10 44 16 44 36 16 36 44 16 44 10 14 46 (?)
a_n: 0 46 60 70 114 130 174 210 226 262 306 322 366 376 390 436
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: 436
Found by: JayPi
db: batch=82, k=16, 46 14 10 44 16 44 36 16

SPT(16)	2448122209226937107	0 12 44 50 54 60 72 102 212 242 254 260 264 270 302 314	-1370493457580
STPT(10)	2448122563219656821	0 2 36 38 78 80 120 122 156 158	-1016500737866
SPT(13)	2448122682330640163	0 24 30 66 90 144 150 156 210 234 270 276 300	-897389754524
TPT(14)	2448122781304421951	0 2 30 32 36 38 90 92 210 212 246 248 288 290	-798415972736
STPT(10)	2448123077470025411	0 2 30 32 78 80 126 128 156 158	-502250369276
STPT(10)	2448123138612910349	0 2 48 50 90 92 132 134 180 182	-441107484338
STPT(10)	2448123799940233157	0 2 12 14 42 44 72 74 84 86	220219838470
SPT(18)	2448124106338391177	0 50 56 102 104 144 162 180 204 242 266 284 302 342 344 390 396 446	526617996490
SPT(16)	2448125109535959817	0 34 112 120 204 214 292 294 340 342 420 430 514 522 600 634	1529815565130
STPT(10)	2448125169455422781	0 2 30 32 78 80 126 128 156 158	1589735028094
SPT(16)	2448125193143792177	0 2 12 60 114 152 182 200 246 264 294 332 386 434 444 446	1613423397490