Prime p₀= 2746560253438077257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2746559303382126773	0 74 80 114 116 126 150 164 210 224 248 258 260 294 300 374	-950055950484
SPT(16)	2746559551085800607	0 14 44 72 86 92 120 146 150 176 204 210 224 252 282 296	-702352276650
STPT(10)	2746559674104248267	0 2 42 44 72 74 102 104 144 146	-579333828990
SPT(16)	2746559876786583877	0 4 40 154 166 172 214 222 304 312 354 360 372 486 522 526	-376651493380
SPT(16)	2746560152123632627	0 12 46 100 102 172 180 186 250 256 264 334 336 390 424 436	-101314444630
STPT(10)	2746560235123498397	0 2 90 92 102 104 114 116 204 206	-18314578860
SPT(18)	2746560421762521593	0 26 38 48 110 116 138 150 164 210 224 236 258 264 326 336 348 374	168324444336
SPT(16)	2746560798747748849	0 18 34 40 54 70 72 172 180 280 282 298 312 318 334 352	545309671592
STPT(10)	2746560866499448589	0 2 48 50 90 92 132 134 180 182	613061371332
SPT(16)	2746561073648038783	0 6 24 34 94 96 100 126 148 174 178 180 240 250 268 274	820209961526
SPT(16)	2746561515803608201	0 28 46 66 88 96 112 178 270 336 352 360 382 402 420 448	1262365530944