Prime p₀= 2309211849596692091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: MarkRBright
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2309209474018152911	0 2 6 8 18 20 30 32 36 38	-2375578539180
SPT(16)	2309209680815804927	0 30 44 84 86 90 110 116 264 270 290 294 296 336 350 380	-2168780887164
STPT(10)	2309209787569625021	0 2 6 8 48 50 90 92 96 98	-2062027067070
STPT(10)	2309210723214051731	0 2 6 8 48 50 90 92 96 98	-1126382640360
SPT(16)	2309210971825872469	0 10 18 70 88 130 154 168 274 288 312 354 372 424 432 442	-877770819622
STPT(10)	2309211444914933729	0 2 18 20 30 32 42 44 60 62	-404681758362
STPT(10)	2309212021313422781	0 2 6 8 48 50 90 92 96 98	171716730690
TPT(14)	2309212277705040287	0 2 24 26 72 74 150 152 282 284 294 296 402 404	428108348196
SPT(16)	2309212457234910377	0 56 80 104 140 164 174 216 230 272 282 306 342 366 390 446	607638218286
SPT(16)	2309213017319230817	0 42 56 90 116 126 144 152 204 212 230 240 266 300 314 356	1167722538726
SPT(16)	2309213138077452221	0 6 20 30 90 98 168 170 198 200 270 278 338 348 362 368	1288480760130