Prime p₀= 2356735422752511851 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 42 84 30 36 24 24 36 30 84 42 30 (?)
a_n: 0 30 72 156 186 222 246 270 306 336 420 462 492
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 492
Found by: JohnMD
db: batch=81, k=13, 30 42 84 30 36 24

STPT(10)	2356733738916782567	0 2 24 26 42 44 60 62 84 86	-1683835729284
SPT(16)	2356733983548904051	0 60 70 102 108 126 138 196 252 310 322 340 346 378 388 448	-1439203607800
SPT(16)	2356734138298179659	0 8 42 54 78 84 110 120 152 162 188 194 218 230 264 272	-1284454332192
SPT(16)	2356734272544158119	0 4 34 114 118 148 204 250 288 334 390 420 424 504 534 538	-1150208353732
STPT(10)	2356734446493952277	0 2 30 32 42 44 54 56 84 86	-976258559574
STPT(10)	2356735043916518561	0 2 6 8 18 20 30 32 36 38	-378835993290
SPT(16)	2356735889424450277	0 16 30 60 72 84 120 130 216 226 262 274 286 316 330 346	466671938426
SPT(16)	2356735971859263691	0 12 88 90 142 166 186 196 312 322 342 366 418 420 496 508	549106751840
SPT(16)	2356736166309862621	0 36 58 78 88 102 142 148 180 186 226 240 250 270 292 328	743557350770
SPT(16)	2356736320401295081	0 22 28 42 46 78 138 162 166 190 250 282 286 300 306 328	897648783230
SPT(16)	2356736743875948919	0 18 30 34 64 78 90 130 132 172 184 198 228 232 244 262	1321123437068