Prime p₀= 2668529097703967999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: biodoc
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2668527324563260669	0 12 28 90 108 150 192 202 210 220 262 304 322 384 400 412	-1773140707330
TPT(14)	2668527371805630449	0 2 30 32 48 50 72 74 90 92 102 104 132 134	-1725898337550
STPT(10)	2668528474265204429	0 2 48 50 90 92 132 134 180 182	-623438763570
SPT(16)	2668528829873130661	0 12 28 82 90 100 156 180 238 262 318 328 336 390 406 418	-267830837338
STPT(10)	2668528831365502277	0 2 30 32 42 44 54 56 84 86	-266338465722
TPT(14)	2668529097703967957	0 2 30 32 42 44 84 86 132 134 180 182 222 224	-42
SPT(13)	2668529104632635611	0 6 30 42 90 96 126 156 162 210 222 246 252	6928667612
STPT(10)	2668529255645948309	0 2 18 20 30 32 42 44 60 62	157941980310
SPT(16)	2668529272187158379	0 32 42 104 140 150 180 182 240 242 272 282 318 380 390 422	174483190380
STPT(10)	2668529391110406797	0 2 30 32 42 44 54 56 84 86	293406438798
SPT(16)	2668529432002250549	0 12 14 24 50 80 132 140 144 152 204 234 260 270 272 284	334298282550