Prime p₀= 2565772433227574279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2565771023621809831	0 58 60 100 126 130 142 240 298 396 408 412 438 478 480 538	-1409605764448
STPT(10)	2565771850357384211	0 2 6 8 48 50 90 92 96 98	-582870190068
STPT(10)	2565771921178997351	0 2 6 8 18 20 30 32 36 38	-512048576928
SPT(16)	2565772046078686483	0 30 58 84 96 108 154 168 376 390 436 448 460 486 514 544	-387148887796
SPT(16)	2565772050586720939	0 54 90 130 168 174 220 294 298 372 418 424 462 502 538 592	-382640853340
STPT(10)	2565772136008512251	0 2 6 8 18 20 30 32 36 38	-297219062028
TPT(14)	2565772522375136507	0 2 12 14 114 116 222 224 270 272 294 296 312 314	89147562228
STPT(10)	2565772551859497401	0 2 36 38 78 80 120 122 156 158	118631923122
STPT(10)	2565772628698829351	0 2 6 8 48 50 90 92 96 98	195471255072
SPT(16)	2565772930750317637	0 6 16 66 70 96 136 174 202 240 280 306 310 360 370 376	497522743358
SPT(16)	2565772945107052069	0 34 48 60 64 70 82 100 102 120 132 138 142 154 168 202	511879477790