Prime p₀= 3015767003390966579 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3015766358835587207	0 12 14 42 74 162 200 204 242 246 284 372 404 432 434 446	-644555379372
TPT(14)	3015766619611090391	0 2 156 158 168 170 210 212 258 260 270 272 300 302	-383779876188
STPT(10)	3015766627774124591	0 2 6 8 48 50 90 92 96 98	-375616841988
SPT(16)	3015766682236166021	0 8 30 48 80 116 168 182 276 290 342 378 410 428 450 458	-321154800558
STPT(10)	3015766733100124439	0 2 18 20 60 62 102 104 120 122	-270290842140
TPT(14)	3015766823893116479	0 2 90 92 138 140 168 170 180 182 222 224 240 242	-179497850100
STPT(10)	3015767291061423707	0 2 12 14 42 44 72 74 84 86	287670457128
SPT(16)	3015767368189514903	0 26 44 56 74 96 98 104 150 156 158 180 198 210 228 254	364798548324
STPT(12)	3015767855443337381	0 2 36 38 60 62 186 188 210 212 246 248	852052370802
SPT(16)	3015767944919333077	0 12 22 60 66 94 112 126 130 144 162 190 196 234 244 256	941528366498
SPT(16)	3015768067984988861	0 20 30 42 48 56 86 90 98 102 132 140 146 158 168 188	1064594022282