Prime p₀= 2307305374351861747 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 64 48 30 14 34 32 30 52 30 32 34 14 30 48 64 (?)
a_n: 0 64 112 142 156 190 222 252 304 334 366 400 414 444 492 556
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: 556
Found by: Landjunge
db: batch=81, k=16, 64 48 30 14 34 32 30 52

SPT(16)	2307303884889215867	0 50 56 72 90 92 134 152 204 222 264 266 284 300 306 356	-1489462645880
STPT(10)	2307303914234977907	0 2 12 14 42 44 72 74 84 86	-1460116883840
SPT(16)	2307304517382819529	0 28 54 58 60 70 84 112 180 208 222 232 234 238 264 292	-856969042218
STPT(10)	2307304728038607509	0 2 42 44 60 62 78 80 120 122	-646313254238
STPT(10)	2307304918648754597	0 2 42 44 72 74 102 104 144 146	-455703107150
STPT(10)	2307305033234443367	0 2 30 32 72 74 114 116 144 146	-341117418380
SPT(16)	2307305463634042363	0 4 24 60 64 76 84 90 130 136 144 156 160 196 216 220	89282180616
STPT(10)	2307305592167898989	0 2 18 20 30 32 42 44 60 62	217816037242
SPT(16)	2307305672637480761	0 2 30 42 138 140 152 162 176 186 198 200 296 308 336 338	298285619014
SPT(16)	2307305841401446429	0 4 18 34 84 90 124 148 150 174 208 214 264 280 294 298	467049584682
STPT(10)	2307306162085298081	0 2 36 38 78 80 120 122 156 158	787733436334