Prime p₀= 2708302325623729337 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)	2708300701089732901	0 22 66 96 118 120 132 148 180 196 208 210 232 262 306 328	-1624533996436
STPT(10)	2708300950827821927	0 2 30 32 42 44 54 56 84 86	-1374795907410
TPT(14)	2708301174031240769	0 2 78 80 102 104 258 260 330 332 372 374 408 410	-1151592488568
SPT(16)	2708301352423669103	0 26 36 56 66 84 128 140 234 246 290 308 318 338 348 374	-973200060234
STPT(10)	2708301866565754577	0 2 30 32 42 44 54 56 84 86	-459057974760
TPT(14)	2708302254851408207	0 2 24 26 102 104 180 182 192 194 210 212 222 224	-70772321130
SPT(16)	2708302596240021343	0 30 54 90 120 136 166 184 216 234 264 280 310 346 370 400	270616292006
TPT(14)	2708302603277679827	0 2 42 44 72 74 144 146 180 182 240 242 354 356	277653950490
STPT(12)	2708302951618153007	0 2 24 26 30 32 54 56 60 62 84 86	625994423670
SPT(16)	2708303055372163267	0 16 42 84 90 96 102 124 132 154 160 166 172 214 240 256	729748433930
STPT(10)	2708303195148733079	0 2 42 44 60 62 78 80 120 122	869525003742