Prime p₀= 2829590905179037367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2829590507095602017	0 26 42 56 60 144 150 182 204 236 242 326 330 344 360 386	-398083435350
SPT(16)	2829590717493182527	0 10 54 66 70 76 100 114 136 150 174 180 184 196 240 250	-187685854840
SPT(16)	2829590772974591999	0 38 48 62 72 98 170 182 240 252 324 350 360 374 384 422	-132204445368
STPT(10)	2829590821368861971	0 2 36 38 78 80 120 122 156 158	-83810175396
SPT(16)	2829590882424119017	0 22 52 112 120 144 162 172 312 322 340 364 372 432 462 484	-22754918350
SPT(16)	2829590890968465059	0 30 98 134 174 218 234 254 294 314 330 374 414 450 518 548	-14210572308
STPT(10)	2829591338682404837	0 2 30 32 72 74 114 116 144 146	433503367470
STPT(10)	2829591696492070421	0 2 6 8 18 20 30 32 36 38	791313033054
STPT(10)	2829592337890757807	0 2 30 32 42 44 54 56 84 86	1432711720440
SPT(16)	2829592566211386331	0 42 52 76 156 198 220 292 336 408 430 472 552 576 586 628	1661032348964
SPT(16)	2829592781294100257	0 20 50 60 104 126 150 182 294 326 350 372 416 426 456 476	1876115062890