Prime p₀= 2378101500222507671 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 64 2 70 2

SPT(16)	2378099943585594971	0 8 26 36 72 80 86 108 140 162 168 176 212 222 240 248	-1556636912700
SPT(16)	2378100235291674809	0 2 38 60 108 240 290 312 320 342 392 524 572 594 630 632	-1264930832862
STPT(10)	2378100317895491927	0 2 90 92 132 134 174 176 264 266	-1182327015744
SPT(16)	2378100875520446911	0 16 28 30 58 90 118 156 190 228 256 288 316 318 330 346	-624702060760
STPT(10)	2378101200833027669	0 2 18 20 30 32 42 44 60 62	-299389480002
STPT(10)	2378101278679759229	0 2 18 20 60 62 102 104 120 122	-221542748442
SPT(16)	2378101949728820663	0 6 14 20 84 90 140 150 200 210 260 266 330 336 344 350	449506312992
STPT(10)	2378102090129496761	0 2 30 32 60 62 90 92 120 122	589906989090
SPT(16)	2378102453092918007	0 54 134 140 206 222 242 266 330 354 374 390 456 462 542 596	952870410336
SPT(16)	2378102638793580233	0 36 44 56 68 78 98 176 198 276 296 306 318 330 338 374	1138571072562
SPT(16)	2378102698706758861	0 22 36 52 102 112 190 250 258 318 396 406 456 472 486 508	1198484251190