Prime p₀= 2313698256251192659 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 88 14 18 24 24 4 12 74 12 4 24 24 18 14 88 (?)
a_n: 0 88 102 120 144 168 172 184 258 270 274 298 322 340 354 442
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: 442
Found by: Landjunge
db: batch=81, k=16, 88 14 18 24 24 4 12 74

SPT(16)	2313696595238292137	0 32 44 102 222 234 240 252 254 266 272 284 404 462 474 506	-1661012900522
STPT(10)	2313696927322432877	0 2 30 32 42 44 54 56 84 86	-1328928759782
SPT(16)	2313697015627226297	0 32 54 92 122 126 150 186 200 236 260 264 294 332 354 386	-1240623966362
SPT(16)	2313697109035453237	0 10 70 94 96 144 150 154 162 166 172 220 222 246 306 316	-1147215739422
STPT(10)	2313697370998067309	0 2 48 50 90 92 132 134 180 182	-885253125350
SPT(16)	2313697495921330723	0 24 40 88 106 130 138 156 178 196 204 228 246 294 310 334	-760329861936
STPT(10)	2313699027015536981	0 2 6 8 18 20 30 32 36 38	770764344322
SPT(16)	2313699034496676769	0 40 42 94 108 112 132 160 222 250 270 274 288 340 342 382	778245484110
STPT(10)	2313699089991306929	0 2 18 20 30 32 42 44 60 62	833740114270
STPT(10)	2313699222408179789	0 2 30 32 120 122 210 212 240 242	966156987130
SPT(16)	2313699619830914261	0 8 18 38 60 90 108 140 168 200 218 248 270 290 300 308	1363579721602