Prime p₀= 3015767291061423707 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

TPT(14)	3015766619611090391	0 2 156 158 168 170 210 212 258 260 270 272 300 302	-671450333316
STPT(10)	3015766627774124591	0 2 6 8 48 50 90 92 96 98	-663287299116
SPT(16)	3015766682236166021	0 8 30 48 80 116 168 182 276 290 342 378 410 428 450 458	-608825257686
STPT(10)	3015766733100124439	0 2 18 20 60 62 102 104 120 122	-557961299268
TPT(14)	3015766823893116479	0 2 90 92 138 140 168 170 180 182 222 224 240 242	-467168307228
STPT(10)	3015767003390966579	0 2 18 20 30 32 42 44 60 62	-287670457128
SPT(16)	3015767368189514903	0 26 44 56 74 96 98 104 150 156 158 180 198 210 228 254	77128091196
STPT(12)	3015767855443337381	0 2 36 38 60 62 186 188 210 212 246 248	564381913674
SPT(16)	3015767944919333077	0 12 22 60 66 94 112 126 130 144 162 190 196 234 244 256	653857909370
SPT(16)	3015768067984988861	0 20 30 42 48 56 86 90 98 102 132 140 146 158 168 188	776923565154
SPT(16)	3015768140475422807	0 12 26 54 62 114 126 140 186 200 212 264 272 300 314 326	849413999100