Prime p₀= 2499463339078638599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2499461595640376243	0 30 90 108 128 156 188 204 260 276 308 336 356 374 434 464	-1743438262356
STPT(10)	2499462187404044921	0 2 36 38 78 80 120 122 156 158	-1151674593678
STPT(10)	2499462364044967301	0 2 36 38 78 80 120 122 156 158	-975033671298
SPT(16)	2499462505034227081	0 46 60 70 82 96 100 118 180 198 202 216 228 238 252 298	-834044411518
SPT(16)	2499462749564580847	0 36 82 124 132 154 202 216 370 384 432 454 462 504 550 586	-589514057752
SPT(16)	2499462885840564403	0 16 30 64 78 166 184 190 264 270 288 376 390 424 438 454	-453238074196
SPT(16)	2499464098124850811	0 10 12 22 30 58 100 192 208 300 342 370 378 388 390 400	759046212212
SPT(16)	2499464164972754737	0 16 36 60 66 70 102 112 150 160 192 196 202 226 246 262	825894116138
TPT(14)	2499464479023557621	0 2 6 8 90 92 186 188 198 200 210 212 270 272	1139944919022
STPT(10)	2499464928038788607	0 2 84 86 102 104 120 122 204 206	1588960150008
STPT(10)	2499465024578316869	0 2 42 44 90 92 138 140 180 182	1685499678270