Prime p₀= 3879057384460475489 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: Conan
db: batch=84, k=10, 2 16 2 10 2

TPT(14)	3879055833227650319	0 2 12 14 60 62 72 74 102 104 138 140 228 230	-1551232825170
SPT(16)	3879055851774782489	0 12 18 72 90 132 182 188 192 198 248 290 308 362 368 380	-1532685693000
SPT(13)	3879055901285815717	0 36 42 60 102 120 126 132 150 192 210 216 252	-1483174659772
STPT(10)	3879056765022990371	0 2 6 8 18 20 30 32 36 38	-619437485118
SPT(16)	3879056953772316059	0 18 44 60 84 98 102 120 212 230 234 248 272 288 314 332	-430688159430
SPT(16)	3879057025557669083	0 84 126 150 164 186 200 216 218 234 248 270 284 308 350 434	-358902806406
SPT(16)	3879057484452024341	0 12 78 80 126 132 180 188 210 218 266 272 318 320 386 398	99991548852
STPT(10)	3879057846625672619	0 2 18 20 30 32 42 44 60 62	462165197130
STPT(10)	3879058046647379369	0 2 12 14 90 92 168 170 180 182	662186903880
SPT(16)	3879058048295595797	0 14 20 60 92 144 150 210 266 326 332 384 416 456 462 476	663835120308
STPT(10)	3879058207655942189	0 2 48 50 90 92 132 134 180 182	823195466700