Prime p₀= 2097512444367956663 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 24 58 30 18 50 12 88 12 50 18 30 58 24 56 (?)
a_n: 0 56 80 138 168 186 236 248 336 348 398 416 446 504 528 584
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: 584
Found by: Landjunge
db: batch=80, k=16, 56 24 58 30 18 50 12 88

SPT(16)	2097511407038547047	0 36 44 72 114 122 140 146 270 276 294 302 344 372 380 416	-1037329409616
SPT(16)	2097511984989305279	0 14 24 30 42 92 150 152 180 182 240 290 302 308 318 332	-459378651384
STPT(10)	2097512111045587667	0 2 54 56 72 74 90 92 144 146	-333322368996
STPT(10)	2097512281204167011	0 2 30 32 60 62 90 92 120 122	-163163789652
SPT(16)	2097512332695433681	0 40 46 58 76 88 96 102 166 172 180 192 210 222 228 268	-111672522982
TPT(14)	2097512417354350439	0 2 48 50 78 80 132 134 198 200 282 284 312 314	-27013606224
STPT(10)	2097512575963224599	0 2 12 14 90 92 168 170 180 182	131595267936
TPT(14)	2097512728234995941	0 2 60 62 126 128 240 242 288 290 336 338 366 368	283867039278
SPT(16)	2097512996637368897	0 2 14 66 72 104 114 212 234 332 342 374 380 432 444 446	552269412234
STPT(10)	2097513449423353601	0 2 6 8 48 50 90 92 96 98	1005055396938
STPT(10)	2097513827978360177	0 2 12 14 42 44 72 74 84 86	1383610403514