Prime p₀= 2350071730791027569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2350070385729677981	0 42 60 108 116 122 146 168 170 192 216 222 230 278 296 338	-1345061349588
STPT(10)	2350070414669037881	0 2 6 8 18 20 30 32 36 38	-1316121989688
SPT(16)	2350070841071847989	0 20 50 72 90 104 134 194 240 300 330 344 362 384 414 434	-889719179580
SPT(16)	2350071182640140087	0 14 36 42 62 90 150 164 252 266 326 354 374 380 402 416	-548150887482
STPT(10)	2350071293126612057	0 2 30 32 72 74 114 116 144 146	-437664415512
SPT(16)	2350071492934058297	0 32 42 60 110 126 140 144 182 186 200 216 266 284 294 326	-237856969272
SPT(16)	2350071944966536093	0 24 28 108 118 120 156 184 210 238 274 276 286 366 370 394	214175508524
STPT(10)	2350072000264497539	0 2 18 20 30 32 42 44 60 62	269473469970
TPT(14)	2350072180240632269	0 2 30 32 90 92 132 134 168 170 312 314 378 380	449449604700
STPT(10)	2350072281892855097	0 2 30 32 42 44 54 56 84 86	551101827528
STPT(12)	2350072604628787277	0 2 42 44 72 74 120 122 150 152 192 194	873837759708