Prime p₀= 3878945141424226187 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: Conan
db: batch=84, k=10, 2 10 2 28 2

SPT(16)	3878944433164509911	0 42 86 122 146 192 198 210 278 290 296 342 366 402 446 488	-708259716276
STPT(10)	3878944481072440457	0 2 12 14 42 44 72 74 84 86	-660351785730
STPT(10)	3878944621354784867	0 2 54 56 72 74 90 92 144 146	-520069441320
TPT(14)	3878944709316627329	0 2 12 14 78 80 162 164 168 170 192 194 222 224	-432107598858
SPT(16)	3878944783886226179	0 14 32 42 48 90 108 132 140 164 182 224 230 240 258 272	-357538000008
SPT(16)	3878944809523294597	0 30 34 126 130 162 216 220 336 340 394 426 430 522 526 556	-331900931590
SPT(16)	3878945746847696243	0 6 20 38 50 98 104 140 144 180 186 234 246 264 278 284	605423470056
SPT(16)	3878945827576544651	0 2 12 50 138 168 210 218 240 248 290 320 408 446 456 458	686152318464
TPT(16)	3878945987756323607	0 2 54 56 60 62 114 116 222 224 294 296 312 314 324 326	846332097420
SPT(16)	3878946024332870159	0 32 78 120 140 170 174 212 270 308 312 342 362 404 450 482	882908643972
SPT(16)	3878946054525823013	0 6 18 54 56 80 90 98 186 194 204 228 230 266 278 284	913101596826