Prime p₀= 3878946176876692949 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

SPT(16)	3878945746847696243	0 6 20 38 50 98 104 140 144 180 186 234 246 264 278 284	-430028996706
SPT(16)	3878945827576544651	0 2 12 50 138 168 210 218 240 248 290 320 408 446 456 458	-349300148298
TPT(16)	3878945987756323607	0 2 54 56 60 62 114 116 222 224 294 296 312 314 324 326	-189120369342
SPT(16)	3878946024332870159	0 32 78 120 140 170 174 212 270 308 312 342 362 404 450 482	-152543822790
SPT(16)	3878946054525823013	0 6 18 54 56 80 90 98 186 194 204 228 230 266 278 284	-122350869936
STPT(10)	3878946055263032981	0 2 126 128 168 170 210 212 336 338	-121613659968
STPT(10)	3878946653126535371	0 2 6 8 108 110 210 212 216 218	476249842422
SPT(16)	3878946999478304093	0 8 14 20 90 96 98 146 168 216 218 224 294 300 306 314	822601611144
SPT(16)	3878947270413295247	0 12 14 32 44 66 122 126 140 144 200 222 234 252 254 266	1093536602298
STPT(10)	3878947322136875249	0 2 48 50 60 62 72 74 120 122	1145260182300
STPT(10)	3878947419900160427	0 2 30 32 42 44 54 56 84 86	1243023467478