Prime p₀= 2629275115050397997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2629274162269931119	0 28 30 40 42 108 114 138 184 208 214 280 282 292 294 322	-952780466878
STPT(10)	2629274207127476729	0 2 18 20 30 32 42 44 60 62	-907922921268
SPT(20)	2629274871880015699	0 22 54 72 84 120 132 160 174 198 214 238 252 280 292 328 340 358 390 412	-243170382298
SPT(13)	2629274896980641071	0 18 30 42 60 108 210 312 360 378 390 402 420	-218069756926
SPT(16)	2629274924019535657	0 4 6 22 42 90 172 180 196 204 286 334 354 370 372 376	-191030862340
STPT(10)	2629275027167887211	0 2 36 38 78 80 120 122 156 158	-87882510786
SPT(16)	2629275836216734889	0 2 18 30 42 72 132 144 188 200 260 290 302 314 330 332	721166336892
STPT(12)	2629276524020340119	0 2 30 32 78 80 120 122 168 170 198 200	1408969942122
SPT(18)	2629276947480443459	0 24 30 42 44 72 122 134 198 224 288 300 350 378 380 392 398 422	1832430045462
SPT(16)	2629277304677720131	0 10 18 30 42 78 100 102 238 240 262 298 310 322 330 340	2189627322134
STPT(10)	2629277923182454517	0 2 30 32 42 44 54 56 84 86	2808132056520