Prime p₀= 2068588533922621817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2068587207119008781	0 2 6 8 18 20 30 32 36 38	-1326803613036
SPT(16)	2068587286302864227	0 24 60 66 90 102 120 132 134 146 164 176 200 206 242 266	-1247619757590
STPT(10)	2068587606062379299	0 2 78 80 120 122 162 164 240 242	-927860242518
SPT(16)	2068587851132255207	0 24 42 62 104 164 170 182 222 234 240 300 342 362 380 404	-682790366610
STPT(10)	2068588006355363957	0 2 60 62 102 104 144 146 204 206	-527567257860
STPT(10)	2068588112624232149	0 2 18 20 30 32 42 44 60 62	-421298389668
STPT(10)	2068588855466964671	0 2 36 38 78 80 120 122 156 158	321544342854
STPT(10)	2068588891500290051	0 2 6 8 48 50 90 92 96 98	357577668234
TPT(14)	2068588964344620437	0 2 30 32 54 56 192 194 210 212 222 224 234 236	430421998620
SPT(16)	2068589449189035419	0 30 78 80 122 128 162 168 254 260 294 300 342 344 392 422	915266413602
TPT(14)	2068589507301662951	0 2 60 62 90 92 168 170 210 212 216 218 270 272	973379041134