Prime p₀= 2136007650134092697 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: Dirk Broer
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2136005672570531207	0 24 50 80 186 234 260 266 294 300 326 374 480 510 536 560	-1977563561490
STPT(10)	2136005960733494819	0 2 12 14 30 32 48 50 60 62	-1689400597878
STPT(10)	2136006410570043857	0 2 24 26 42 44 60 62 84 86	-1239564048840
STPT(10)	2136007209910966031	0 2 6 8 48 50 90 92 96 98	-440223126666
STPT(10)	2136007590579817781	0 2 30 32 78 80 126 128 156 158	-59554274916
SPT(16)	2136007591390499899	0 10 24 28 34 48 52 64 78 90 94 108 114 118 132 142	-58743592798
SPT(16)	2136007834409032579	0 48 78 88 102 118 132 150 172 190 204 220 234 244 274 322	184274939882
STPT(10)	2136008076275153957	0 2 30 32 60 62 90 92 120 122	426141061260
SPT(18)	2136008268732602713	0 4 54 64 88 106 144 148 154 180 186 190 228 246 270 280 330 334	618598510016
SPT(16)	2136008423343341087	0 50 90 120 144 182 204 294 302 392 414 452 476 506 546 596	773209248390
SPT(16)	2136008492934732287	0 42 62 114 144 156 222 240 326 344 410 422 452 504 524 566	842800639590