Prime p₀= 2382875894931835153 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 78 12 6 64 20 46 14 16 14 46 20 64 6 12 78 (?)
a_n: 0 78 90 96 160 180 226 240 256 270 316 336 400 406 418 496
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: 496
Found by: Landjunge
db: batch=81, k=16, 78 12 6 64 20 46 14 16

SPT(16)	2382874751533021241	0 2 18 60 62 116 152 200 348 396 432 486 488 530 546 548	-1143398813912
STPT(10)	2382875024069873477	0 2 42 44 72 74 102 104 144 146	-870861961676
SPT(16)	2382875157555567989	0 2 12 14 20 44 84 90 152 158 198 222 228 230 240 242	-737376267164
STPT(10)	2382875257280719427	0 2 30 32 72 74 114 116 144 146	-637651115726
STPT(10)	2382875285954435717	0 2 30 32 42 44 54 56 84 86	-608977399436
SPT(16)	2382875295966134777	0 2 20 56 92 126 132 150 152 170 176 210 246 282 300 302	-598965700376
TPT(14)	2382875954649547319	0 2 18 20 30 32 138 140 198 200 222 224 228 230	59717712166
STPT(10)	2382875972530552517	0 2 42 44 72 74 102 104 144 146	77598717364
STPT(10)	2382876075500934197	0 2 30 32 60 62 90 92 120 122	180569099044
SPT(16)	2382876141416861947	0 16 42 64 72 142 244 246 280 282 384 454 462 484 510 526	246485026794
TPT(14)	2382876361791599519	0 2 18 20 60 62 72 74 102 104 150 152 228 230	466859764366