Prime p₀= 2280580862557027439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

TPT(14)	2280578943608482901	0 2 18 20 150 152 228 230 270 272 306 308 336 338	-1918948544538
SPT(16)	2280579005045253151	0 42 100 130 162 180 208 222 238 252 280 298 330 360 418 460	-1857511774288
SPT(16)	2280579012063619951	0 28 40 52 60 76 120 138 160 178 222 238 246 258 270 298	-1850493407488
STPT(10)	2280579029792856017	0 2 30 32 42 44 54 56 84 86	-1832764171422
SPT(16)	2280579909915183649	0 34 42 70 94 100 112 154 180 222 234 240 264 292 300 334	-952641843790
STPT(10)	2280580321830366761	0 2 6 8 18 20 30 32 36 38	-540726660678
SPT(16)	2280580874380562489	0 2 38 60 72 80 102 140 222 260 282 290 302 324 360 362	11823535050
STPT(10)	2280580935783940871	0 2 6 8 48 50 90 92 96 98	73226913432
SPT(16)	2280580943381954233	0 34 70 94 118 138 154 184 234 264 280 300 324 348 384 418	80824926794
STPT(12)	2280580994890748609	0 2 12 14 42 44 180 182 210 212 222 224	132333721170
SPT(16)	2280581257664895359	0 12 32 54 108 110 114 122 270 278 282 284 338 360 380 392	395107867920