Prime p₀= 2291100911462341007 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2291100075497754583	0 6 24 28 96 100 178 186 208 216 294 298 366 370 388 394	-835964586424
SPT(16)	2291100138580383083	0 24 44 66 74 126 140 144 170 174 188 240 248 270 290 314	-772881957924
STPT(10)	2291100169640343947	0 2 54 56 72 74 90 92 144 146	-741821997060
TPT(14)	2291100347197368347	0 2 60 62 90 92 144 146 264 266 300 302 312 314	-564264972660
STPT(10)	2291100487302386699	0 2 18 20 30 32 42 44 60 62	-424159954308
SPT(16)	2291100758959830547	0 30 36 162 192 204 234 240 316 322 352 364 394 520 526 556	-152502510460
STPT(10)	2291101232406337667	0 2 30 32 42 44 54 56 84 86	320943996660
SPT(16)	2291101341077904821	0 32 48 50 92 98 110 116 162 168 180 186 228 230 246 278	429615563814
STPT(10)	2291102027645439269	0 2 48 50 60 62 72 74 120 122	1116183098262
TPT(14)	2291102728740557507	0 2 72 74 84 86 114 116 150 152 180 182 240 242	1817278216500
SPT(16)	2291102854660516399	0 54 70 94 118 138 154 180 298 324 340 360 384 408 424 478	1943198175392