Prime p₀= 2312970397743237941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2312969121838660069	0 12 102 114 144 168 198 208 354 364 394 418 448 460 550 562	-1275904577872
STPT(10)	2312969174234000831	0 2 6 8 48 50 90 92 96 98	-1223509237110
STPT(10)	2312969478111177209	0 2 18 20 30 32 42 44 60 62	-919632060732
SPT(16)	2312969510163149779	0 78 120 154 172 198 214 252 310 348 364 390 408 442 484 562	-887580088162
SPT(16)	2312970045778483499	0 2 50 78 90 102 122 140 150 168 188 200 212 240 288 290	-351964754442
STPT(10)	2312970267144744971	0 2 30 32 78 80 126 128 156 158	-130598492970
TPT(14)	2312970636421451639	0 2 12 14 48 50 78 80 90 92 138 140 162 164	238678213698
TPT(14)	2312970650929326317	0 2 12 14 42 44 114 116 144 146 150 152 180 182	253186088376
SPT(16)	2312970952218244973	0 18 26 30 84 98 254 260 264 270 426 440 494 498 506 524	554475007032
STPT(10)	2312971237548599891	0 2 6 8 48 50 90 92 96 98	839805361950
SPT(16)	2312971844669593337	0 6 32 42 54 86 222 242 294 314 450 482 494 504 530 536	1446926355396