Prime p₀= 3007757187113250347 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=82, k=10, 2 10 2 28 2

SPT(16)	3007755809266693201	0 16 22 30 40 82 90 118 120 148 156 198 208 216 222 238	-1377846557146
SPT(16)	3007756425863099077	0 24 30 34 72 126 172 186 250 264 310 364 402 406 412 436	-761250151270
STPT(10)	3007756598094089537	0 2 120 122 150 152 180 182 300 302	-589019160810
SPT(16)	3007757077907929511	0 30 36 42 90 92 98 156 182 240 246 248 296 302 308 338	-109205320836
STPT(10)	3007757085363304229	0 2 48 50 90 92 132 134 180 182	-101749946118
TPT(16)	3007757143960615157	0 2 102 104 144 146 150 152 222 224 270 272 312 314 354 356	-43152635190
SPT(16)	3007758266359332977	0 2 12 14 54 60 152 164 240 252 344 350 390 392 402 404	1079246082630
STPT(10)	3007758312159918347	0 2 30 32 60 62 90 92 120 122	1125046668000
STPT(10)	3007758900921070991	0 2 30 32 78 80 126 128 156 158	1713807820644
STPT(10)	3007758921080894777	0 2 30 32 42 44 54 56 84 86	1733967644430
SPT(16)	3007758937714748803	0 60 70 76 94 120 166 210 214 258 304 330 348 354 364 424	1750601498456