Prime p₀= 2336675295775236431 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)	2336673638881350121	0 22 42 48 66 108 136 198 280 342 370 412 430 436 456 478	-1656893886310
STPT(10)	2336674475784038849	0 2 42 44 90 92 138 140 180 182	-819991197582
SPT(16)	2336674866258732907	0 12 42 64 66 84 120 136 150 166 202 220 222 244 274 286	-429516503524
SPT(16)	2336674930354939061	0 12 20 32 42 116 132 170 198 236 252 326 336 348 356 368	-365420297370
SPT(16)	2336674983990137927	0 42 44 66 86 152 156 182 204 230 234 300 320 342 344 386	-311785098504
STPT(10)	2336675040130449059	0 2 18 20 30 32 42 44 60 62	-255644787372
STPT(10)	2336675385708070859	0 2 48 50 90 92 132 134 180 182	89932834428
STPT(10)	2336676001938932387	0 2 30 32 42 44 54 56 84 86	706163695956
SPT(16)	2336677058803295941	0 36 78 96 132 192 210 232 276 298 316 376 412 430 472 508	1763028059510
STPT(10)	2336677165349991719	0 2 12 14 90 92 168 170 180 182	1869574755288
SPT(16)	2336677285141173829	0 10 30 54 60 78 130 144 148 162 214 232 238 262 282 292	1989365937398