Prime p₀= 2123606319754099709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: ChUcK
db: batch=80, k=10, 2 10 2 76 2

TPT(14)	2123604681112141679	0 2 48 50 102 104 138 140 240 242 258 260 312 314	-1638641958030
TPT(14)	2123604797098787279	0 2 12 14 60 62 90 92 168 170 222 224 300 302	-1522655312430
SPT(16)	2123605128632179583	0 14 18 20 24 56 68 80 84 96 108 140 144 146 150 164	-1191121920126
STPT(12)	2123605753605714869	0 2 30 32 78 80 162 164 210 212 240 242	-566148384840
STPT(12)	2123605818407900969	0 2 30 32 60 62 72 74 102 104 132 134	-501346198740
STPT(10)	2123606104931659259	0 2 18 20 30 32 42 44 60 62	-214822440450
SPT(16)	2123606453698939211	0 18 30 56 66 98 146 188 210 252 300 332 342 368 380 398	133944839502
SPT(16)	2123606623915861919	0 8 24 42 48 60 98 102 230 234 272 284 290 308 324 332	304161762210
STPT(10)	2123606673788486111	0 2 36 38 78 80 120 122 156 158	354034386402
SPT(16)	2123606796897317477	0 6 54 104 120 132 144 176 180 212 224 236 252 302 350 356	477143217768
STPT(10)	2123606907049282997	0 2 24 26 42 44 60 62 84 86	587295183288