Prime p₀= 1056948748742306657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1056947935231388267	0 2 12 14 42 44 72 74 84 86	-813510918390
STPT(10)	1056948057117703739	0 2 18 20 30 32 42 44 60 62	-691624602918
STPT(10)	1056948291380201021	0 2 6 8 48 50 90 92 96 98	-457362105636
SPT(16)	1056948428639843021	0 20 42 66 72 80 102 116 156 170 192 200 206 230 252 272	-320102463636
SPT(16)	1056948534210358837	0 22 82 172 214 222 234 322 354 442 454 462 504 594 654 676	-214531947820
SPT(16)	1056948627399963401	0 20 26 32 68 90 96 116 162 182 188 210 246 252 258 278	-121342343256
SPT(16)	1056948860590561999	0 12 22 30 40 60 82 100 102 120 142 162 172 180 190 202	111848255342
TPT(16)	1056949185733719491	0 2 36 38 78 80 168 170 276 278 306 308 330 332 378 380	436991412834
STPT(10)	1056949416884063399	0 2 12 14 90 92 168 170 180 182	668141756742
STPT(10)	1056950133657397247	0 2 30 32 72 74 114 116 144 146	1384915090590
STPT(10)	1056950665339821797	0 2 30 32 42 44 54 56 84 86	1916597515140