Prime p₀= 2923513463689064993 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 44 10 56 100 44 6 28 6 44 100 56 10 44 6 (?)
a_n: 0 6 50 60 116 216 260 266 294 300 344 444 500 510 554 560
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: 560
Found by: Landjunge
db: batch=82, k=16, 6 44 10 56 100 44 6 28

SPT(16)	2923512010075765597	0 10 90 112 166 220 240 264 322 346 366 420 474 496 576 586	-1453613299396
STPT(10)	2923512055770146051	0 2 30 32 78 80 126 128 156 158	-1407918918942
SPT(16)	2923512093425482873	0 18 90 124 166 264 270 276 328 334 340 438 480 514 586 604	-1370263582120
STPT(12)	2923512387653910359	0 2 30 32 60 62 108 110 138 140 168 170	-1076035154634
SPT(16)	2923513172178631867	0 4 22 42 70 150 162 184 282 304 316 396 424 444 462 466	-291510433126
SPT(16)	2923513252513093291	0 10 16 42 46 52 60 72 100 112 120 126 130 156 162 172	-211175971702
SPT(16)	2923513649738813561	0 36 42 92 96 122 126 132 170 176 180 206 210 260 266 302	186049748568
STPT(10)	2923513822557980081	0 2 6 8 108 110 210 212 216 218	358868915088
STPT(10)	2923514001209872307	0 2 30 32 42 44 54 56 84 86	537520807314
SPT(16)	2923514539587630311	0 12 38 56 102 110 126 138 140 152 168 176 222 240 266 278	1075898565318
SPT(16)	2923514648554455083	0 14 24 36 44 74 90 116 258 284 300 330 338 350 360 374	1184865390090