Prime p₀= 2629111008239259631 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 12 24 14 42 10 8 58 8 10 42 14 24 12 40 (?)
a_n: 0 40 52 76 90 132 142 150 208 216 226 268 282 306 318 358
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: 358
Found by: JayPi
db: batch=82, k=16, 40 12 24 14 42 10 8 58

STPT(10)	2629109160880668671	0 2 6 8 18 20 30 32 36 38	-1847358590960
SPT(16)	2629109257211161513	0 6 18 28 34 54 126 138 166 178 250 270 276 286 298 304	-1751028098118
SPT(18)	2629109910861900197	0 6 14 26 54 84 110 132 140 186 194 216 242 272 300 312 320 326	-1097377359434
SPT(16)	2629109990220397223	0 14 36 38 44 50 68 86 108 126 144 150 156 158 180 194	-1018018862408
STPT(10)	2629110156051857381	0 2 120 122 138 140 156 158 276 278	-852187402250
SPT(16)	2629110520284805889	0 14 30 48 98 104 140 150 212 222 258 264 314 332 348 362	-487954453742
STPT(10)	2629111216844083637	0 2 12 14 42 44 72 74 84 86	208604824006
STPT(10)	2629111564406263379	0 2 42 44 60 62 78 80 120 122	556167003748
SPT(16)	2629111665875814901	0 6 82 106 108 136 138 148 150 160 162 190 192 216 292 298	657636555270
STPT(10)	2629111665875815007	0 2 30 32 42 44 54 56 84 86	657636555376
SPT(16)	2629111685392512289	0 54 72 90 102 112 288 300 322 334 510 520 532 550 568 622	677153252658