Prime p₀= 3006663019430480477 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	3006661616041759757	0 2 42 44 72 74 102 104 144 146	-1403388720720
SPT(16)	3006661978719772367	0 24 30 56 60 80 92 102 134 144 156 176 180 206 212 236	-1040710708110
SPT(16)	3006662112108239131	0 70 126 136 150 166 180 186 232 238 252 268 282 292 348 418	-907322241346
SPT(18)	3006662302958427797	0 26 36 54 56 104 140 144 162 164 182 186 222 270 272 290 300 326	-716472052680
STPT(10)	3006662477385666509	0 2 48 50 90 92 132 134 180 182	-542044813968
STPT(10)	3006662785945421747	0 2 42 44 72 74 102 104 144 146	-233485058730
SPT(16)	3006663561215490053	0 8 20 36 50 78 80 104 150 174 176 204 218 234 246 254	541785009576
SPT(18)	3006664110431091449	0 42 50 62 84 132 174 182 188 234 240 248 290 338 360 372 380 422	1091000610972
TPT(14)	3006664330507183637	0 2 42 44 174 176 210 212 282 284 300 302 354 356	1311076703160
SPT(16)	3006664544058451147	0 6 70 72 76 172 190 196 216 222 240 336 340 342 406 412	1524627970670
SPT(16)	3006665272220779343	0 18 30 44 66 74 128 180 254 306 360 368 390 404 416 434	2252790298866