Prime p₀= 2829591696492070421 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2829590772974591999	0 38 48 62 72 98 170 182 240 252 324 350 360 374 384 422	-923517478422
STPT(10)	2829590821368861971	0 2 36 38 78 80 120 122 156 158	-875123208450
SPT(16)	2829590882424119017	0 22 52 112 120 144 162 172 312 322 340 364 372 432 462 484	-814067951404
SPT(16)	2829590890968465059	0 30 98 134 174 218 234 254 294 314 330 374 414 450 518 548	-805523605362
STPT(10)	2829590905179037367	0 2 30 32 42 44 54 56 84 86	-791313033054
STPT(10)	2829591338682404837	0 2 30 32 72 74 114 116 144 146	-357809665584
STPT(10)	2829592337890757807	0 2 30 32 42 44 54 56 84 86	641398687386
SPT(16)	2829592566211386331	0 42 52 76 156 198 220 292 336 408 430 472 552 576 586 628	869719315910
SPT(16)	2829592781294100257	0 20 50 60 104 126 150 182 294 326 350 372 416 426 456 476	1084802029836
SPT(16)	2829593606493322519	0 42 58 70 112 130 240 264 298 322 432 450 492 504 520 562	1910001252098
STPT(10)	2829593619873205187	0 2 30 32 60 62 90 92 120 122	1923381134766