Prime p₀= 3715492657126100159 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 14 84 76 44 36 4 36 44 76 84 14 6 24 (?)
a_n: 0 24 30 44 128 204 248 284 288 324 368 444 528 542 548 572
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: 572
Found by: arkiss
db: batch=84, k=16, 24 6 14 84 76 44 36 4

SPT(16)	3715491350026401571	0 10 22 28 36 40 58 66 82 90 108 112 120 126 138 148	-1307099698588
STPT(10)	3715491730215656267	0 2 30 32 60 62 90 92 120 122	-926910443892
STPT(10)	3715492314563247467	0 2 12 14 72 74 132 134 144 146	-342562852692
SPT(16)	3715492434068379311	0 42 96 116 140 152 222 230 348 356 426 438 462 482 536 578	-223057720848
SPT(18)	3715492463005565833	0 10 28 30 34 70 76 126 136 138 148 198 204 240 244 246 264 274	-194120534326
STPT(10)	3715492624860315191	0 2 6 8 48 50 90 92 96 98	-32265784968
STPT(10)	3715493013135774851	0 2 30 32 78 80 126 128 156 158	356009674692
STPT(10)	3715493441616543359	0 2 48 50 90 92 132 134 180 182	784490443200
SPT(16)	3715493559159590249	0 32 60 84 122 164 182 194 198 210 228 270 308 332 360 392	902033490090
SPT(16)	3715493591968084981	0 36 70 90 132 190 196 202 216 222 228 286 328 348 382 418	934841984822
SPT(16)	3715493656304849297	0 42 74 180 212 222 240 260 264 284 302 312 344 450 482 524	999178749138