Prime p₀= 2565124066946519293 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 24 54 6 50 30 96 34 96 30 50 6 54 24 10 (?)
a_n: 0 10 34 88 94 144 174 270 304 400 430 480 486 540 564 574
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: 574
Found by: JayPi
db: batch=82, k=16, 10 24 54 6 50 30 96 34

SPT(16)	2565122568338029207	0 6 30 60 82 166 222 226 270 274 330 414 436 466 490 496	-1498608490086
SPT(16)	2565122847335972377	0 4 84 102 112 160 220 264 292 336 396 444 454 472 552 556	-1219610546916
STPT(10)	2565123168029189627	0 2 30 32 72 74 114 116 144 146	-898917329666
STPT(10)	2565123450329567717	0 2 42 44 72 74 102 104 144 146	-616616951576
STPT(10)	2565123531667585697	0 2 54 56 72 74 90 92 144 146	-535278933596
TPT(14)	2565123785766759209	0 2 198 200 222 224 312 314 390 392 408 410 432 434	-281179760084
SPT(16)	2565124223391956357	0 24 80 104 132 134 150 182 252 284 300 302 330 354 410 434	156445437064
STPT(10)	2565124532156913227	0 2 54 56 72 74 90 92 144 146	465210393934
SPT(16)	2565124851109739747	0 2 14 36 54 72 80 86 90 96 104 122 140 162 174 176	784163220454
STPT(10)	2565124882106456627	0 2 12 14 42 44 72 74 84 86	815159937334
SPT(16)	2565125369411025451	0 16 72 78 90 106 118 120 238 240 252 268 280 286 342 358	1302464506158