Prime p₀= 2564809056423648967 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 38 4 8 4 30 44 46 44 30 4 8 4 38 22 (?)
a_n: 0 22 60 64 72 76 106 150 196 240 270 274 282 286 324 346
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: 346
Found by: JayPi
db: batch=82, k=16, 22 38 4 8 4 30 44 46

SPT(16)	2564807740413304109	0 48 98 138 140 152 162 188 204 230 240 252 254 294 344 392	-1316010344858
SPT(16)	2564808016314944251	0 12 60 66 76 78 130 148 150 168 220 222 232 238 286 298	-1040108704716
SPT(16)	2564808122492057573	0 36 50 54 80 96 126 158 186 218 248 264 290 294 308 344	-933931591394
SPT(16)	2564808123655433083	0 18 24 54 64 88 94 148 186 240 246 270 280 310 316 334	-932768215884
SPT(16)	2564808172705221881	0 26 48 50 126 128 140 168 188 216 228 230 306 308 330 356	-883718427086
SPT(16)	2564808947709626327	0 14 114 210 212 234 246 264 332 350 362 384 386 482 582 596	-108714022640
STPT(10)	2564809098114599429	0 2 30 32 60 62 90 92 120 122	41690950462
SPT(16)	2564809258119384079	0 18 52 70 82 130 138 160 192 214 222 270 282 300 334 352	201695735112
SPT(16)	2564809407811205771	0 2 62 66 72 90 140 150 188 198 248 266 272 276 336 338	351387556804
TPT(14)	2564809723840567979	0 2 12 14 42 44 348 350 480 482 492 494 528 530	667416919012
STPT(10)	2564809733419435427	0 2 72 74 102 104 132 134 204 206	676995786460