Prime p₀= 2322925734464132893 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 24 14 42 4 84 56 10 56 84 4 42 14 24 40 (?)
a_n: 0 40 64 78 120 124 208 264 274 330 414 418 460 474 498 538
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: 538
Found by: Landjunge
db: batch=81, k=16, 40 24 14 42 4 84 56 10

STPT(10)	2322923449400735801	0 2 6 8 48 50 90 92 96 98	-2285063397092
TPT(14)	2322924056734306937	0 2 30 32 90 92 132 134 162 164 174 176 240 242	-1677729825956
STPT(10)	2322924979362743279	0 2 18 20 30 32 42 44 60 62	-755101389614
SPT(16)	2322924980464138693	0 18 84 88 114 130 144 210 238 304 318 334 360 364 430 448	-753999994200
SPT(16)	2322925021866331087	0 6 60 66 84 90 106 130 150 174 190 196 214 220 274 280	-712597801806
SPT(16)	2322925292429540983	0 4 66 70 106 160 184 198 316 330 354 408 444 448 510 514	-442034591910
STPT(10)	2322925850962755299	0 2 18 20 30 32 42 44 60 62	116498622406
SPT(16)	2322925851530449787	0 6 24 42 72 90 140 146 150 156 206 224 254 272 290 296	117066316894
SPT(16)	2322926356839463889	0 38 72 92 104 108 120 150 152 182 194 198 210 230 264 302	622375330996
STPT(10)	2322926372085654659	0 2 42 44 60 62 78 80 120 122	637621521766
SPT(16)	2322926656624210957	0 34 42 52 64 102 112 126 130 144 154 192 204 214 222 256	922160078064