Prime p₀= 1314005643046820177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: emoga
db: batch=77, k=10, 2 22 2 16 2

TPT(14)	1314002643586535687	0 2 24 26 54 56 114 116 120 122 330 332 360 362	-2999460284490
STPT(10)	1314002724523291469	0 2 18 20 60 62 102 104 120 122	-2918523528708
SPT(16)	1314004518247058447	0 6 32 50 96 120 134 194 462 522 536 560 606 624 650 656	-1124799761730
SPT(16)	1314004806367606079	0 2 38 72 84 110 122 194 198 270 282 308 320 354 390 392	-836679214098
SPT(16)	1314005228903305429	0 28 30 40 64 78 84 100 288 304 310 324 348 358 360 388	-414143514748
STPT(10)	1314005277627611711	0 2 6 8 18 20 30 32 36 38	-365419208466
SPT(16)	1314005646132143179	0 18 22 54 78 88 168 190 252 274 354 364 388 420 424 442	3085323002
STPT(10)	1314005739041103707	0 2 30 32 42 44 54 56 84 86	95994283530
STPT(10)	1314005811987982427	0 2 30 32 42 44 54 56 84 86	168941162250
STPT(10)	1314006631317745637	0 2 30 32 42 44 54 56 84 86	988270925460
SPT(16)	1314006721958270609	0 12 42 48 78 90 92 162 188 258 260 272 302 308 338 350	1078911450432