Prime p₀= 1270347548964502157 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 38 10 26 24 24 18 52 18 24 24 26 10 38 42 (?)
a_n: 0 42 80 90 116 140 164 182 234 252 276 300 326 336 374 416
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: 416
Found by: Megacruncher
db: batch=77, k=16, 42 38 10 26 24 24 18 52

SPT(16)	1270346633955830489	0 2 18 42 78 84 90 104 198 212 218 224 260 284 300 302	-915008671668
SPT(16)	1270346937362162417	0 20 42 66 86 92 146 200 216 270 324 330 350 374 396 416	-611602339740
SPT(16)	1270347061943577817	0 16 34 96 132 184 196 220 306 330 342 394 430 492 510 526	-487020924340
TPT(14)	1270347190782217739	0 2 48 50 72 74 78 80 102 104 330 332 378 380	-358182284418
STPT(10)	1270347271748766257	0 2 54 56 72 74 90 92 144 146	-277215735900
SPT(16)	1270347402860783011	0 6 22 72 102 142 156 162 310 316 330 370 400 450 466 472	-146103719146
STPT(10)	1270348250655062531	0 2 96 98 168 170 240 242 336 338	701690560374
STPT(10)	1270348275166610579	0 2 42 44 60 62 78 80 120 122	726202108422
STPT(10)	1270348350449071457	0 2 54 56 132 134 210 212 264 266	801484569300
SPT(16)	1270348401035700641	0 6 30 50 92 140 228 230 378 380 468 516 558 578 602 608	852071198484
TPT(14)	1270348883930630597	0 2 30 32 42 44 120 122 144 146 174 176 210 212	1334966128440