Prime p₀= 1831167895623163379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Paul
db: batch=79, k=10, 2 40 2 16 2

SPT(16)	1831165219209111757	0 34 66 76 82 142 154 184 192 222 234 294 300 310 342 376	-2676414051622
TPT(14)	1831165380774666047	0 2 24 26 42 44 60 62 102 104 114 116 150 152	-2514848497332
TPT(14)	1831166251999442471	0 2 66 68 120 122 126 128 156 158 240 242 246 248	-1643623720908
STPT(10)	1831166414123448497	0 2 30 32 42 44 54 56 84 86	-1481499714882
SPT(16)	1831167128761253033	0 14 36 44 114 128 144 156 188 200 216 230 300 308 330 344	-766861910346
SPT(16)	1831167419322284783	0 6 26 38 90 98 120 150 164 194 216 224 276 288 308 314	-476300878596
STPT(10)	1831168812499489157	0 2 30 32 60 62 90 92 120 122	916876325778
STPT(10)	1831168836394266371	0 2 36 38 78 80 120 122 156 158	940771102992
SPT(16)	1831169249808839753	0 80 86 108 158 170 206 246 290 330 366 378 428 450 456 536	1354185676374
SPT(16)	1831169316058632577	0 10 40 60 66 100 156 192 214 250 306 340 346 366 396 406	1420435469198
SPT(16)	1831169664690775417	0 12 46 84 126 142 156 204 232 280 294 310 352 390 424 436	1769067612038