Prime p₀= 2370732047213661479 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 2 58 2 28 14 10 86 10 14 28 2 58 2 18 (?)
a_n: 0 18 20 78 80 108 122 132 218 228 242 270 272 330 332 350
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: 350
Found by: Landjunge
db: batch=81, k=16, 18 2 58 2 28 14 10 86

SPT(16)	2370730443455184451	0 12 16 18 36 82 198 202 336 340 456 502 520 522 526 538	-1603758477028
SPT(16)	2370730660149216529	0 42 58 160 180 192 204 208 234 238 250 262 282 384 400 442	-1387064444950
STPT(10)	2370730911273414749	0 2 12 14 90 92 168 170 180 182	-1135940246730
SPT(16)	2370730942839426641	0 18 48 68 90 96 122 162 206 246 272 278 300 320 350 368	-1104374234838
STPT(10)	2370731275445632439	0 2 18 20 30 32 42 44 60 62	-771768029040
TPT(14)	2370731907595120337	0 2 30 32 90 92 102 104 114 116 132 134 144 146	-139618541142
SPT(16)	2370732134306458099	0 4 28 48 60 78 84 112 150 178 184 202 214 234 258 262	87092796620
SPT(16)	2370732256486782217	0 16 46 52 100 102 112 142 234 264 274 276 324 330 360 376	209273120738
SPT(16)	2370732377739592127	0 32 74 84 104 120 140 186 230 276 296 312 332 342 384 416	330525930648
SPT(16)	2370732403685850157	0 10 64 114 262 364 370 412 444 486 492 594 742 792 846 856	356472188678
SPT(16)	2370733186587541483	0 24 30 64 78 88 114 144 154 184 210 220 234 268 274 298	1139373880004