Prime p₀= 2623238679687772739 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 32 48 30 30 24 70 36 2 36 70 24 30 30 48 32 (?)
a_n: 0 32 80 110 140 164 234 270 272 308 378 402 432 462 510 542
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: 542
Found by: fzs600
db: batch=82, k=16, 32 48 30 30 24 70 36 2

SPT(16)	2623238016248056387	0 52 60 76 82 90 102 112 144 154 166 174 180 196 204 256	-663439716352
SPT(16)	2623238105509765531	0 30 46 72 82 132 160 208 300 348 376 426 436 462 478 508	-574178007208
SPT(16)	2623238125223132231	0 42 66 68 150 152 180 218 240 278 306 308 390 392 416 458	-554464640508
SPT(16)	2623238208016854019	0 12 48 64 70 72 78 82 120 124 130 132 138 154 190 202	-471670918720
STPT(10)	2623238265273311891	0 2 6 8 18 20 30 32 36 38	-414414460848
STPT(10)	2623238485738790987	0 2 12 14 42 44 72 74 84 86	-193948981752
SPT(16)	2623239031572122921	0 12 60 96 102 122 156 168 170 182 216 236 242 278 326 338	351884350182
SPT(16)	2623240122565859857	0 4 34 42 90 102 144 154 222 232 274 286 334 342 372 376	1442878087118
STPT(10)	2623240137651281381	0 2 30 32 78 80 126 128 156 158	1457963508642
STPT(10)	2623240266709659809	0 2 42 44 60 62 78 80 120 122	1587021887070
TPT(14)	2623240330376182409	0 2 12 14 48 50 60 62 72 74 180 182 258 260	1650688409670