Prime p₀= 2336678472880569407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 70 2

SPT(16)	2336677285141173829	0 10 30 54 60 78 130 144 148 162 214 232 238 262 282 292	-1187739395578
SPT(16)	2336677307683448057	0 32 42 54 56 60 74 102 104 132 146 150 152 164 174 206	-1165197121350
SPT(18)	2336677336838376263	0 6 68 86 98 110 128 228 338 396 506 606 624 636 648 666 728 734	-1136042193144
SPT(16)	2336677470699374953	0 28 94 160 168 190 196 208 276 288 294 316 324 390 456 484	-1002181194454
SPT(16)	2336677962709578349	0 24 42 60 78 120 168 180 262 274 322 364 382 400 418 442	-510170991058
STPT(10)	2336678015165550191	0 2 36 38 78 80 120 122 156 158	-457715019216
SPT(16)	2336680096469095591	0 30 60 90 100 168 186 240 268 322 340 408 418 448 478 508	1623588526184
SPT(16)	2336680238826687319	0 34 42 60 88 102 172 180 202 210 280 294 322 340 348 382	1765946117912
STPT(10)	2336680255913338001	0 2 6 8 18 20 30 32 36 38	1783032768594
STPT(10)	2336680323019523027	0 2 30 32 42 44 54 56 84 86	1850138953620
STPT(10)	2336680584562660949	0 2 18 20 30 32 42 44 60 62	2111682091542